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One equation of a pair of inconsistent linear equations is 2x – 3y = 4, then the second equation can be
- a)6x – 9y = 12
- b)4x – 6y = 8
- c)4x – 6y = 9
- d)3x – 2y = 4
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
One equation of a pair of inconsistent linear equations is 2x – ...
If equation of a pair of inconsistent linear equations, then
For satisfying the condition of dependent linear equations, the values of a2,b2 and c2 should be the multiples of the values of a1,b1 and c1.
∴ the values would be
∴ the second equation can be 4x−6y = 8
For satisfying the condition of dependent linear equations, the values of a2,b2 and c2 should be the multiples of the values of a1,b1 and c1.
∴ the values would be
∴ the second equation can be 4x−6y = 8
Most Upvoted Answer
One equation of a pair of inconsistent linear equations is 2x – ...
Consistency depends upon ratio of the coefficients of variables and the constant term. If a1 /a2 =b1/b2 but not equal to c1/c2 then the equations will be inconsistent. Likewise here, we've 2/4= 3/6 but not equal to 4/9... So opt. C is correct.
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One equation of a pair of inconsistent linear equations is 2x – ...
To determine the second equation in a pair of inconsistent linear equations, we need to find an equation that is not satisfied by the same values of x and y as the given equation.
Given equation: 2x - 3y = 4
We can start by simplifying this equation by isolating y:
-3y = -2x + 4
Divide both sides by -3:
y = (2/3)x - 4/3
Now let's analyze the options:
a) 6x - 9y = 12
To check if this equation is consistent with the given equation, we substitute the values of x and y from the given equation:
6x - 9y = 12
6x - 9((2/3)x - 4/3) = 12
6x - 6x + 12 = 12
12 = 12
Since the equation is satisfied, option 'a' is not the correct answer.
b) 4x - 6y = 8
Following the same process, we substitute the values of x and y from the given equation:
4x - 6y = 8
4x - 6((2/3)x - 4/3) = 8
4x - 4x + 8 = 8
8 = 8
Again, the equation is satisfied, so option 'b' is not the correct answer.
c) 4x - 6y = 9
Using the substitution method, we substitute the values of x and y from the given equation:
4x - 6y = 9
4x - 6((2/3)x - 4/3) = 9
4x - 4x + 8 = 9
8 ≠ 9
In this case, the equation is not satisfied, so option 'c' is the correct answer.
d) 3x - 2y = 4
Following the same process:
3x - 2y = 4
3x - 2((2/3)x - 4/3) = 4
3x - 2x + 8/3 = 4
x + 8/3 = 4
x = 4 - 8/3
x = 4/3
Substituting the value of x back into the given equation:
2(4/3) - 3y = 4
8/3 - 3y = 4
-3y = 4 - 8/3
-3y = 12/3 - 8/3
-3y = 4/3
y = (4/3) / -3
y = -4/9
Therefore, the equation 3x - 2y = 4 is consistent with the given equation.
In conclusion, the second equation that is inconsistent with the given equation 2x - 3y = 4 is 4x - 6y = 9 (option 'c').
Given equation: 2x - 3y = 4
We can start by simplifying this equation by isolating y:
-3y = -2x + 4
Divide both sides by -3:
y = (2/3)x - 4/3
Now let's analyze the options:
a) 6x - 9y = 12
To check if this equation is consistent with the given equation, we substitute the values of x and y from the given equation:
6x - 9y = 12
6x - 9((2/3)x - 4/3) = 12
6x - 6x + 12 = 12
12 = 12
Since the equation is satisfied, option 'a' is not the correct answer.
b) 4x - 6y = 8
Following the same process, we substitute the values of x and y from the given equation:
4x - 6y = 8
4x - 6((2/3)x - 4/3) = 8
4x - 4x + 8 = 8
8 = 8
Again, the equation is satisfied, so option 'b' is not the correct answer.
c) 4x - 6y = 9
Using the substitution method, we substitute the values of x and y from the given equation:
4x - 6y = 9
4x - 6((2/3)x - 4/3) = 9
4x - 4x + 8 = 9
8 ≠ 9
In this case, the equation is not satisfied, so option 'c' is the correct answer.
d) 3x - 2y = 4
Following the same process:
3x - 2y = 4
3x - 2((2/3)x - 4/3) = 4
3x - 2x + 8/3 = 4
x + 8/3 = 4
x = 4 - 8/3
x = 4/3
Substituting the value of x back into the given equation:
2(4/3) - 3y = 4
8/3 - 3y = 4
-3y = 4 - 8/3
-3y = 12/3 - 8/3
-3y = 4/3
y = (4/3) / -3
y = -4/9
Therefore, the equation 3x - 2y = 4 is consistent with the given equation.
In conclusion, the second equation that is inconsistent with the given equation 2x - 3y = 4 is 4x - 6y = 9 (option 'c').
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One equation of a pair of inconsistent linear equations is 2x – 3y = 4, then the second equation can bea)6x – 9y = 12b)4x – 6y = 8c)4x – 6y = 9d)3x – 2y = 4Correct answer is option 'C'. Can you explain this answer?
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One equation of a pair of inconsistent linear equations is 2x – 3y = 4, then the second equation can bea)6x – 9y = 12b)4x – 6y = 8c)4x – 6y = 9d)3x – 2y = 4Correct answer is option 'C'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about One equation of a pair of inconsistent linear equations is 2x – 3y = 4, then the second equation can bea)6x – 9y = 12b)4x – 6y = 8c)4x – 6y = 9d)3x – 2y = 4Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One equation of a pair of inconsistent linear equations is 2x – 3y = 4, then the second equation can bea)6x – 9y = 12b)4x – 6y = 8c)4x – 6y = 9d)3x – 2y = 4Correct answer is option 'C'. Can you explain this answer?.
One equation of a pair of inconsistent linear equations is 2x – 3y = 4, then the second equation can bea)6x – 9y = 12b)4x – 6y = 8c)4x – 6y = 9d)3x – 2y = 4Correct answer is option 'C'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about One equation of a pair of inconsistent linear equations is 2x – 3y = 4, then the second equation can bea)6x – 9y = 12b)4x – 6y = 8c)4x – 6y = 9d)3x – 2y = 4Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for One equation of a pair of inconsistent linear equations is 2x – 3y = 4, then the second equation can bea)6x – 9y = 12b)4x – 6y = 8c)4x – 6y = 9d)3x – 2y = 4Correct answer is option 'C'. Can you explain this answer?.
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One equation of a pair of inconsistent linear equations is 2x – 3y = 4, then the second equation can bea)6x – 9y = 12b)4x – 6y = 8c)4x – 6y = 9d)3x – 2y = 4Correct answer is option 'C'. Can you explain this answer?, a detailed solution for One equation of a pair of inconsistent linear equations is 2x – 3y = 4, then the second equation can bea)6x – 9y = 12b)4x – 6y = 8c)4x – 6y = 9d)3x – 2y = 4Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of One equation of a pair of inconsistent linear equations is 2x – 3y = 4, then the second equation can bea)6x – 9y = 12b)4x – 6y = 8c)4x – 6y = 9d)3x – 2y = 4Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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