Two systems of equations are shown: 4x+y=−1 x+y=2 and 8x+2y=−2 −4x+cy=−8

What would the value of c need to be to get the same solution for both systems? (

Responses
2
1
4
-4
-2

1 answer

To find the value of c that would give the same solution for both systems, we can compare the two equations in the second system to the equations in the first system.

Comparing the first equation in the second system, 8x+2y=-2, to the first equation in the first system, 4x+y=-1, we can see that the coefficients of x are the same (8 and 4) and the coefficients of y are also the same (2 and 1).

Therefore, we can conclude that c=2. Therefore, the correct answer is 2.