Solving Systems With Substitution

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Questions: 5 | Attempts: 2,745 | Updated: Mar 21, 2023

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Solving Systems With Substitution - Quiz

Solving Systems with Substitution
Algebra 1 VOISE High School Ms. Johnson

Questions and Answers

1.

Find the solution to the system of equations. y = x + 2y = 4x - 4

Explanation
The solution to the system of equations is (2,4). This means that when we substitute x=2 and y=4 into both equations, both equations are satisfied. Therefore, (2,4) is a valid solution to the system of equations.

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2.

Find the solution to the system of equations.y = 2x - 9y = 3x - 14

Explanation
The given system of equations is y = 2x - 9 and y = 3x - 14. To find the solution, we need to find the values of x and y that satisfy both equations simultaneously. By substituting the value of y from the second equation into the first equation, we get 3x - 14 = 2x - 9. Simplifying this equation, we find x = 5. Substituting this value of x into either of the original equations, we find y = 1. Therefore, the solution to the system of equations is (5,1).

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3.

Find the solution to the system of equations. y = 4x + 3 y = 11x - 4

Explanation
The correct answer for this question is (1,7),(1, 7). It means that the solution to the system of equations is x = 1 and y = 7. This means that when we substitute x = 1 and y = 7 into both equations, both equations will be satisfied.

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4.

Find the solution to the system of equations.y = 5x - 27y = x - 3

Explanation
The given system of equations is y = 5x - 27 and y = x - 3. To find the solution, we need to find the values of x and y that satisfy both equations. By substituting the value of y from the second equation into the first equation, we get x - 3 = 5x - 27. Simplifying this equation, we find that 4x = 24, which means that x = 6. Substituting this value of x back into the second equation, we find that y = 3. Therefore, the solution to the system of equations is (6,3).

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5.

Find the solution to the system of equations.y = 2x - 18y = 5x - 45

Explanation
The correct answer is (9,0),(9, 0). This means that when we substitute x=9 and y=0 into both equations, both equations are satisfied. In other words, (9,0) is a solution to the system of equations. The repetition of (9, 0) in the answer is likely a typo or error in formatting.

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Current Version
Mar 21, 2023

Quiz Edited by
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Mar 11, 2010

Quiz Created by
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Solving Systems With Substitution

Find the solution to the system of equations. y = x + 2y = 4x - 4

Find the solution to the system of equations.y = 2x - 9y = 3x - 14

Find the solution to the system of equations. y = 4x + 3 y = 11x - 4

Find the solution to the system of equations.y = 5x - 27y = x - 3

Find the solution to the system of equations.y = 2x - 18y = 5x - 45