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Write four solutions for each of the following equations (1) 2x y=7, (2) πx y=8 , (3) x=4y?
Most Upvoted Answer
Write four solutions for each of the following equations (1) 2x y=7, (...
(i) 2x + y = 7
For x = 0, 2(0)
+ y = 7
y = 7
Therefore, (0, 7) is a solution of this equation. For x
= 1, 2(1)
+ y = 7 y =
5
Therefore, (1, 5) is a solution of this equation.
For x = −1,
2(−1) + y = 7
y = 9
Therefore, (−1, 9) is a solution of this equation.
For x = 2,
2(2) + y = 7
y = 3
Therefore, (2, 3) is a solution of this equation.
(ii)πx + y = 9
For x = 0, π(0)
+ y = 9
y = 9
Therefore, (0, 9) is a solution of this equation.
For x = 1, π(1) + y = 9 y = 9 − π
Therefore, (1, 9 − π) is a solution of this equation.
For x = 2, π(2) + y = 9 y = 9 − 2π
Therefore, (2, 9 −2π) is a solution of this equation.
For x = −1, π(−1) + y = 9 y = 9 + π
(−1, 9 + π) is a solution of this equation.
(iii)x = 4y
For x = 0,
0 = 4y
y = 0
Therefore, (0, 0) is a solution of this equation.
For y = 1, x = 4(1) = 4
Therefore, (4, 1) is a solution of this equation.
For y = −1, x = 4(−1) x = −4
for x=2
2=4y
y=2/4=1/2
2,1/2
Therefore, (−4, −1) is a solution of this equation.
For x = 0, 2(0)
+ y = 7
y = 7
Therefore, (0, 7) is a solution of this equation. For x
= 1, 2(1)
+ y = 7 y =
5
Therefore, (1, 5) is a solution of this equation.
For x = −1,
2(−1) + y = 7
y = 9
Therefore, (−1, 9) is a solution of this equation.
For x = 2,
2(2) + y = 7
y = 3
Therefore, (2, 3) is a solution of this equation.
(ii)πx + y = 9
For x = 0, π(0)
+ y = 9
y = 9
Therefore, (0, 9) is a solution of this equation.
For x = 1, π(1) + y = 9 y = 9 − π
Therefore, (1, 9 − π) is a solution of this equation.
For x = 2, π(2) + y = 9 y = 9 − 2π
Therefore, (2, 9 −2π) is a solution of this equation.
For x = −1, π(−1) + y = 9 y = 9 + π
(−1, 9 + π) is a solution of this equation.
(iii)x = 4y
For x = 0,
0 = 4y
y = 0
Therefore, (0, 0) is a solution of this equation.
For y = 1, x = 4(1) = 4
Therefore, (4, 1) is a solution of this equation.
For y = −1, x = 4(−1) x = −4
for x=2
2=4y
y=2/4=1/2
2,1/2
Therefore, (−4, −1) is a solution of this equation.
Community Answer
Write four solutions for each of the following equations (1) 2x y=7, (...
Solutions for Equations
Equation 1: 2xy=7
- Substitution Method:
- Solve one of the variables in terms of the other from one of the equations
- Substitute the expression obtained for the variable in the other equation and solve for the remaining variable
- Elimination Method:
- Multiply one or both of the equations by a constant so that one of the variables has the same coefficient with opposite signs in both equations
- Add or subtract the equations to eliminate one of the variables
- Solve for the remaining variable
- Graphical Method:
- Plot the equation on a graph and find the point(s) where the line(s) intersect with the axes or with each other
- Matrix Method:
- Write the equations in matrix form
- Use matrix operations to solve for the variables
Equation 2: πxy=8
- Substitution Method:
- Solve one of the variables in terms of the other from one of the equations
- Substitute the expression obtained for the variable in the other equation and solve for the remaining variable
- Elimination Method:
- Multiply one or both of the equations by a constant so that one of the variables has the same coefficient with opposite signs in both equations
- Add or subtract the equations to eliminate one of the variables
- Solve for the remaining variable
- Graphical Method:
- Plot the equation on a graph and find the point(s) where the line(s) intersect with the axes or with each other
- Matrix Method:
- Write the equations in matrix form
- Use matrix operations to solve for the variables
Equation 3: x=4y
- Substitution Method:
- Solve one of the variables in terms of the other from one of the equations
- Substitute the expression obtained for the variable in the other equation and solve for the remaining variable
- Elimination Method:
- Multiply one or both of the equations by a constant so that one of the variables has the same coefficient with opposite signs in both equations
- Add or subtract the equations to eliminate one of the variables
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Write four solutions for each of the following equations (1) 2x y=7, (2) πx y=8 , (3) x=4y?
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Write four solutions for each of the following equations (1) 2x y=7, (2) πx y=8 , (3) x=4y? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Write four solutions for each of the following equations (1) 2x y=7, (2) πx y=8 , (3) x=4y? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Write four solutions for each of the following equations (1) 2x y=7, (2) πx y=8 , (3) x=4y?.
Write four solutions for each of the following equations (1) 2x y=7, (2) πx y=8 , (3) x=4y? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about Write four solutions for each of the following equations (1) 2x y=7, (2) πx y=8 , (3) x=4y? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Write four solutions for each of the following equations (1) 2x y=7, (2) πx y=8 , (3) x=4y?.
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