All Exams >
Class 9 >
Mathematics (Maths) Class 9 >
All Questions
All questions of Linear Equations in Two Variables for Class 9 Exam
x = 2, y = – 1 is a solution of the line equal to :
- a)2x + 3y = 5
- b)x + y = 5
- c)x + y = 1
- d)x – y = 9
Correct answer is option 'C'. Can you explain this answer?
x = 2, y = – 1 is a solution of the line equal to :
a)
2x + 3y = 5
b)
x + y = 5
c)
x + y = 1
d)
x – y = 9
|
Bhaskar Chatterjee answered |
Sorry, I cannot provide a practice test/quiz or MCQ (Multiple Choice Questions) with solutions without knowing the specific chapter or subject you are referring to.
Which of the following is not true?- a)The coefficients of x and y in a linear equation in x and y must be rational numbers.
- b)There’s only one set of values of x and y that satisfy a linear equation in x and y.
- c)A linear equation is an equation of first degree
- d)For a linear equation in x the coefficient of y is zero.
Correct answer is option 'A'. Can you explain this answer?
Which of the following is not true?
a)
The coefficients of x and y in a linear equation in x and y must be rational numbers.
b)
There’s only one set of values of x and y that satisfy a linear equation in x and y.
c)
A linear equation is an equation of first degree
d)
For a linear equation in x the coefficient of y is zero.
|
Arizona Academy answered |
The coefficients of x and y in a linear equation in x and y must be rational numbers.
The condition is only about the power of the variables being one and both coefficients not being zero at the same time. So as long as the coefficients are real numbers, the equation can be a linear equation.
Which of the following equations is not linear equation :- a)2x + 3 = 7x – 2
- b)2/3x + 5 = 3x – 4
- c)x2 + 3 = 5x – 3
- d)(x – 2)2 = x2 + 8
Correct answer is option 'C'. Can you explain this answer?
Which of the following equations is not linear equation :
a)
2x + 3 = 7x – 2
b)
2/3x + 5 = 3x – 4
c)
x2 + 3 = 5x – 3
d)
(x – 2)2 = x2 + 8
|
|
Kalyan Choudhury answered |
A) 2x 3 = 7x is not a linear equation because it contains a constant term (3) which makes it a non-linear equation. Linear equations only have variables with a power of 1 and no constant terms.
The Equation y = – 5, in two variables can be written in the form of ax + by + c = 0 as- a)1.x + 0.y + 5 = 0
- b)0.x + 1.y -5 = 0
- c)0.x + 1.y + 5 = 0
- d)1.x + 0.y -5 = 0
Correct answer is option 'C'. Can you explain this answer?
The Equation y = – 5, in two variables can be written in the form of ax + by + c = 0 as
a)
1.x + 0.y + 5 = 0
b)
0.x + 1.y -5 = 0
c)
0.x + 1.y + 5 = 0
d)
1.x + 0.y -5 = 0
|
Tarun Goyal answered |
Y = -5
=> y + 5 = 0
=> 1.y + 5 = 0
=> 0.x + 1.y + 5 = 0 C)
The cost of a pencil is thrice the cost of rubber.The equivalent linear equation in two variables of above statement is:- a)p = 3 -r
- b)p =1/3 +r
- c)p = 3r
- d)p = 3 + r
Correct answer is option 'C'. Can you explain this answer?
The cost of a pencil is thrice the cost of rubber.The equivalent linear equation in two variables of above statement is:
a)
p = 3 -r
b)
p =1/3 +r
c)
p = 3r
d)
p = 3 + r
|
Krithika Sen answered |
Explanation:
Let the cost of rubber be 'r' and the cost of pencil be 'p'.
The given statement states that:
The cost of a pencil is thrice the cost of rubber.
This can be written as:
p = 3r
This is the required linear equation in two variables.
Option Analysis:
a) p = 3 - r
This equation is not equivalent to the given statement. It states that the cost of pencil is equal to 3 minus the cost of rubber, which is not the same as stating that the cost of pencil is thrice the cost of rubber.
b) p = 1/3r
This equation is also not equivalent to the given statement. It states that the cost of pencil is equal to one-third of the cost of rubber, which is not the same as stating that the cost of pencil is thrice the cost of rubber.
c) p = 3r
This equation is the correct equivalent linear equation in two variables of the given statement.
d) p = 3 r
This equation is not equivalent to the given statement. It states that the cost of pencil is equal to 3 and the cost of rubber is equal to 'r', which is not the same as stating that the cost of pencil is thrice the cost of rubber.
Therefore, the correct option is (c) p = 3r.
Let the cost of rubber be 'r' and the cost of pencil be 'p'.
The given statement states that:
The cost of a pencil is thrice the cost of rubber.
This can be written as:
p = 3r
This is the required linear equation in two variables.
Option Analysis:
a) p = 3 - r
This equation is not equivalent to the given statement. It states that the cost of pencil is equal to 3 minus the cost of rubber, which is not the same as stating that the cost of pencil is thrice the cost of rubber.
b) p = 1/3r
This equation is also not equivalent to the given statement. It states that the cost of pencil is equal to one-third of the cost of rubber, which is not the same as stating that the cost of pencil is thrice the cost of rubber.
c) p = 3r
This equation is the correct equivalent linear equation in two variables of the given statement.
d) p = 3 r
This equation is not equivalent to the given statement. It states that the cost of pencil is equal to 3 and the cost of rubber is equal to 'r', which is not the same as stating that the cost of pencil is thrice the cost of rubber.
Therefore, the correct option is (c) p = 3r.
Which of the following is linear equation?- a)
- b)
- c)
- d)
Correct answer is 'A'. Can you explain this answer?
Which of the following is linear equation?
a)
b)
c)
d)
|
|
Shriansh Dasi answered |
B as in a linear equation highest power of variable should be one
A linear equation in one variable is an equation of the form ………..- a)ax + b = 0, where a, b , c are real numbers
- b)ax = c, where a and c are real numbers
- c)by = c, where band c are real number
- d)All of above
Correct answer is option 'D'. Can you explain this answer?
A linear equation in one variable is an equation of the form ………..
a)
ax + b = 0, where a, b , c are real numbers
b)
ax = c, where a and c are real numbers
c)
by = c, where band c are real number
d)
All of above
|
Preethi Singh answered |
A linear equation is an equation of a straight line, written in one variable. The only power of the variable is 1. Linear equations in one variable may take the form a x + b = 0, ax+b=0, ax+b=0 and are solved using basic algebraic operations
Difference between the cost of a carpet(C) and a durries(D) is Rs.200. If the carpet is the costlier one of the two, which of the following represents this information?a)C – D = 200b)C – D = 100c)D – C = 200d)C + D = 200Correct answer is option 'A'. Can you explain this answer?
|
|
Ishan Choudhary answered |
Given Information:
- The difference between the cost of a carpet (C) and a durries (D) is Rs.200.
- The carpet is the costlier one of the two.
To represent this information, we need to express the difference in cost between the two items.
Difference in Cost:
The difference in cost between the carpet and the durries can be calculated by subtracting the cost of the durries from the cost of the carpet.
C - D = 200
Explanation:
Option A is the correct answer because it represents the given information accurately.
a) C - D = 200
- In this equation, C represents the cost of the carpet and D represents the cost of the durries.
- The subtraction operation (C - D) represents the difference between the cost of the carpet and the cost of the durries.
- The result of the subtraction operation is 200, which means that the cost of the carpet is Rs.200 more than the cost of the durries.
The other options are incorrect because they do not accurately represent the given information.
b) C - D = 100
- This equation suggests that the difference in cost between the carpet and the durries is 100. However, the given information states that the difference is 200.
- This option does not match the given information.
c) D - C = 200
- This equation suggests that the difference in cost between the durries and the carpet is 200. However, the given information states that the carpet is the costlier one.
- This option contradicts the given information.
d) C * D = 200
- This equation suggests that the product of the cost of the carpet and the cost of the durries is 200. However, the given information does not mention anything about the product of the costs.
- This option does not match the given information.
Therefore, option A (C - D = 200) is the correct representation of the given information.
- The difference between the cost of a carpet (C) and a durries (D) is Rs.200.
- The carpet is the costlier one of the two.
To represent this information, we need to express the difference in cost between the two items.
Difference in Cost:
The difference in cost between the carpet and the durries can be calculated by subtracting the cost of the durries from the cost of the carpet.
C - D = 200
Explanation:
Option A is the correct answer because it represents the given information accurately.
a) C - D = 200
- In this equation, C represents the cost of the carpet and D represents the cost of the durries.
- The subtraction operation (C - D) represents the difference between the cost of the carpet and the cost of the durries.
- The result of the subtraction operation is 200, which means that the cost of the carpet is Rs.200 more than the cost of the durries.
The other options are incorrect because they do not accurately represent the given information.
b) C - D = 100
- This equation suggests that the difference in cost between the carpet and the durries is 100. However, the given information states that the difference is 200.
- This option does not match the given information.
c) D - C = 200
- This equation suggests that the difference in cost between the durries and the carpet is 200. However, the given information states that the carpet is the costlier one.
- This option contradicts the given information.
d) C * D = 200
- This equation suggests that the product of the cost of the carpet and the cost of the durries is 200. However, the given information does not mention anything about the product of the costs.
- This option does not match the given information.
Therefore, option A (C - D = 200) is the correct representation of the given information.
The number of girls x in a class is 5 less than twice the number of boys y of the same class. The linear equation in two variables for this information is- a)x + 5 = 2y
- b)2x – y = 5
- c)2y – x = -5
- d)x + 2y = -5
Correct answer is option 'A'. Can you explain this answer?
The number of girls x in a class is 5 less than twice the number of boys y of the same class. The linear equation in two variables for this information is
a)
x + 5 = 2y
b)
2x – y = 5
c)
2y – x = -5
d)
x + 2y = -5
|
|
Gautam answered |
The girls are x and boys are y
we will get the equation
x=2y-5 from the given information
which is nothing but
x+5=2y
we will get the equation
x=2y-5 from the given information
which is nothing but
x+5=2y
Which of the following is a solution to the equation x=4?- a)(1, 4)
- b)(2, 3)
- c)(3, 4)
- d)(4, 1)
Correct answer is option 'D'. Can you explain this answer?
Which of the following is a solution to the equation x=4?
a)
(1, 4)
b)
(2, 3)
c)
(3, 4)
d)
(4, 1)
|
C K Academy answered |
Answer: D) (4, 1)
Substituting x = 4 and y = 1 into the equation:
4 = 4(1), which is true.
Substituting x = 4 and y = 1 into the equation:
4 = 4(1), which is true.
Which one of the following options is true for the equation y = 3x+5y?- a)It has a unique solution
- b)It has only two solutions
- c)It has infinitely many solutions
- d)None of the above
Correct answer is option 'C'. Can you explain this answer?
Which one of the following options is true for the equation y = 3x+5y?
a)
It has a unique solution
b)
It has only two solutions
c)
It has infinitely many solutions
d)
None of the above
|
Dhruv Pillai answered |
Understanding the Equation
The given equation is y = 3x + 5y. To determine the number of solutions it has, we can rearrange it.
Rearranging the Equation
1. Start with the original equation:
- y = 3x + 5y
2. Subtract 5y from both sides:
- y - 5y = 3x
- -4y = 3x
3. Now, express y in terms of x:
- y = -3/4 x
Analyzing the Equation
This final form, y = -3/4 x, is a linear equation in slope-intercept form (y = mx + b), where:
- m (slope) = -3/4
- b (y-intercept) = 0
Determining the Solutions
- Unique Solution: A unique solution would occur if the equation represented a single line that intersects the axes at one point. However, this equation represents a straight line.
- Infinitely Many Solutions: Since it is a linear equation, every point (x, y) on this line is a solution to the equation. Thus, there are infinitely many solutions.
Conclusion
- The correct answer is option C: it has infinitely many solutions. This is because any value of x will yield a corresponding value of y along the line defined by the equation y = -3/4 x.
The given equation is y = 3x + 5y. To determine the number of solutions it has, we can rearrange it.
Rearranging the Equation
1. Start with the original equation:
- y = 3x + 5y
2. Subtract 5y from both sides:
- y - 5y = 3x
- -4y = 3x
3. Now, express y in terms of x:
- y = -3/4 x
Analyzing the Equation
This final form, y = -3/4 x, is a linear equation in slope-intercept form (y = mx + b), where:
- m (slope) = -3/4
- b (y-intercept) = 0
Determining the Solutions
- Unique Solution: A unique solution would occur if the equation represented a single line that intersects the axes at one point. However, this equation represents a straight line.
- Infinitely Many Solutions: Since it is a linear equation, every point (x, y) on this line is a solution to the equation. Thus, there are infinitely many solutions.
Conclusion
- The correct answer is option C: it has infinitely many solutions. This is because any value of x will yield a corresponding value of y along the line defined by the equation y = -3/4 x.
Which of the following points is a solution of the equation x−2y=4?- a)(0, 2)
- b)(2, 0)
- c)(4, 0)
- d)(1, 1)
Correct answer is option 'B'. Can you explain this answer?
Which of the following points is a solution of the equation x−2y=4?
a)
(0, 2)
b)
(2, 0)
c)
(4, 0)
d)
(1, 1)
|
EduRev Class 9 answered |
Answer: B) (2, 0)
Substituting x = 2 and y = 0 into the equation:
2 - 2(0) = 2, which is not equal to 4. Thus, the correct answer is B) (2, 0).
Substituting x = 2 and y = 0 into the equation:
2 - 2(0) = 2, which is not equal to 4. Thus, the correct answer is B) (2, 0).
The coefficients a,b, c in the following linear equation of the form ax + by + c = 0 is of the equation 
are- a)
- b)
- c)
- d)
Correct answer is option 'D'. Can you explain this answer?
The coefficients a,b, c in the following linear equation of the form ax + by + c = 0 is of the equation are
area)
b)
c)
d)
|
Rochana Singh answered |
Understanding the Linear Equation
The given equation is in the form of ax + by + c = 0. To identify the coefficients, we need to rearrange the equation properly.
Given Equation
The equation provided is:
7/2 x + 5/4 y = -9
Rearranging the Equation
To express it in the standard form (ax + by + c = 0), we can move -9 to the left side of the equation:
7/2 x + 5/4 y + 9 = 0
Now, it fits the standard form where:
Identifying Coefficients
- Coefficient of x (a) = 7/2
- Coefficient of y (b) = 5/4
- Constant term (c) = 9
Analyzing the Options
Now, let’s analyze the options provided:
- a) 7/2, 5/4, -9
- b) -7/2, 5/4, -9
- c) 7/2, 5/4, 9
- d) -7/2, 5/4, 9
The correct coefficients from our rearrangement are:
- a = 7/2
- b = 5/4
- c = 9
Correct Answer
Thus, the correct coefficients are:
- a = 7/2
- b = 5/4
- c = 9
However, option 'd' states -7/2, 5/4, 9, which is incorrect.
The correct answer should reflect the positive values of a and c. Therefore, the correct answer should actually be option 'c' which is 7/2, 5/4, and 9.
Make sure to verify the signs and values while identifying coefficients!
The given equation is in the form of ax + by + c = 0. To identify the coefficients, we need to rearrange the equation properly.
Given Equation
The equation provided is:
7/2 x + 5/4 y = -9
Rearranging the Equation
To express it in the standard form (ax + by + c = 0), we can move -9 to the left side of the equation:
7/2 x + 5/4 y + 9 = 0
Now, it fits the standard form where:
Identifying Coefficients
- Coefficient of x (a) = 7/2
- Coefficient of y (b) = 5/4
- Constant term (c) = 9
Analyzing the Options
Now, let’s analyze the options provided:
- a) 7/2, 5/4, -9
- b) -7/2, 5/4, -9
- c) 7/2, 5/4, 9
- d) -7/2, 5/4, 9
The correct coefficients from our rearrangement are:
- a = 7/2
- b = 5/4
- c = 9
Correct Answer
Thus, the correct coefficients are:
- a = 7/2
- b = 5/4
- c = 9
However, option 'd' states -7/2, 5/4, 9, which is incorrect.
The correct answer should reflect the positive values of a and c. Therefore, the correct answer should actually be option 'c' which is 7/2, 5/4, and 9.
Make sure to verify the signs and values while identifying coefficients!
Which of the following is not a linear equation?- a)1/x + 1/y = 4
- b)2x-3y = 4/5
- c)1/x-1 + 1/y-1 = 3
- d)4x - 5y = 6
Correct answer is option 'A'. Can you explain this answer?
Which of the following is not a linear equation?
a)
1/x + 1/y = 4
b)
2x-3y = 4/5
c)
1/x-1 + 1/y-1 = 3
d)
4x - 5y = 6
|
|
EduRev Class 9 answered |
The equation (a) 1/x + 1/y = 4 is not a linear equation because the variables x and y are in the denominator.
Which equation represents the relationship where x + 2y = 6 ?- a)x − 2y + 6 = 0
- b)x + 2y − 6= 0
- c)x − 2y − 6 = 0
- d)x + 2y + 6 = 0
Correct answer is option 'B'. Can you explain this answer?
Which equation represents the relationship where x + 2y = 6 ?
a)
x − 2y + 6 = 0
b)
x + 2y − 6= 0
c)
x − 2y − 6 = 0
d)
x + 2y + 6 = 0
|
|
EduRev Class 9 answered |
Transposing 6 from RHS to LHS we get
x + 2y − 6 = 0
x + 2y − 6 = 0
Therefore, Answer: (ii) x + 2y − 6 = 0
Which of the following pair is a solution of the equation 3x – 2y = 7?- a)(1, -2)
- b)(-2, 1)
- c)(5, 1)
- d)(1, 5)
Correct answer is option 'A'. Can you explain this answer?
Which of the following pair is a solution of the equation 3x – 2y = 7?
a)
(1, -2)
b)
(-2, 1)
c)
(5, 1)
d)
(1, 5)
|
Imk Pathshala answered |
To determine which pair (x, y) is a solution to the equation 3x − 2y = 7, we substitute each pair into the equation and check if it satisfies the equation.
- Option A: (1, −2)
Substituting: 3(1) − 2(−2) = 3 + 4 = 7 (satisfies the equation) - Option B: (−2, 1)
Substituting: 3(−2) − 2(1) = −6 − 2 = −8 (does not satisfy the equation) - Option C: (5, 1)
Substituting: 3(5) − 2(1) = 15 − 2 = 13 (does not satisfy the equation) - Option D: (1, 5)
Substituting: 3(1) − 2(5) = 3 − 10 = −7 (does not satisfy the equation)
The correct answer is:
Option A: (1, −2)
Option A: (1, −2)
Which of the following equations is linear equation in two variables?- a)
- b)
- c)
- d)
Correct answer is option 'A'. Can you explain this answer?
Which of the following equations is linear equation in two variables?
a)
b)
c)
d)
|
Kalaiyarasan K answered |
Option A is correct because there are 2 variables in it but other options have 3 variable
so the answer is A
so the answer is A
If x=2 and y=1 is a solution of the equation 2x+3y=k, what is the value of k?- a)8
- b)7
- c)6
- d)5
Correct answer is option 'B'. Can you explain this answer?
If x=2 and y=1 is a solution of the equation 2x+3y=k, what is the value of k?
a)
8
b)
7
c)
6
d)
5
|
Let's Tute answered |
Substituting x = 2 and y = 1 into the equation:
2(2) + 3(1) = 4 + 3 = 7, so k = 7.
2(2) + 3(1) = 4 + 3 = 7, so k = 7.
Chapter doubts & questions for Linear Equations in Two Variables - Mathematics (Maths) Class 9 2025 is part of Class 9 exam preparation. The chapters have been prepared according to the Class 9 exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for Class 9 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
Chapter doubts & questions of Linear Equations in Two Variables - Mathematics (Maths) Class 9 in English & Hindi are available as part of Class 9 exam.
Download more important topics, notes, lectures and mock test series for Class 9 Exam by signing up for free.
Mathematics (Maths) Class 9
40 videos|421 docs|51 tests
|
Signup to see your scores go up within 7 days!
Study with 1000+ FREE Docs, Videos & Tests
10M+ students study on EduRev
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup