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A system of equations and its solution are given below.

 

System A

 

5x-y=-11

3x-2y=-8

 

Solution: (-2,1)

 

To get system B below, the second equation in system A was replaced by the sum of that equation and the first equation in system A multiplied by -2.

 

System B

 

5x-y=-11

?

 

A. The second equation in system B is 7x = 30. The solution to system B will not be the same as the solution to system A.

 

B. The second equation in system B is -7x = 14. The solution to system B will be the same as the solution to system A.

 

C. The second equation in system B is -7x = 14. The solution to system B will not be the same as the solution to system A.

 

D. The second equation in system B is 7x = 30. The solution to system B will be the same as the solution to system A.

 Apr 5, 2023
 #1
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First equation multiplied by -5: 2y-10x=22

Add equations: -7x=14.

Solution to system B: x=-2,y=1

Solution to system A: x=-2,y=1

The solutions to the systems are the same, so the answer is B

 May 3, 2023

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