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? (1 point) Responses 1 1 2 2 4 4 -2 -2 -4

Answer 1

To get the same solution for both systems, the two systems must have the same slopes and the same y-intercepts.

For the first system, we can rewrite the second equation as y = 2 - x.
Comparing with the first equation, we can see that the slope is -1 for both equations and the y-intercept is 2 for both equations.

For the second system, we can rewrite the second equation as y = cx - 2.
Comparing with the first equation, we can see that the slope is c for both equations and the y-intercept is -2 for both equations.

Therefore, to get the same solution for both systems, the value of c must be equal to -1.

Answer: -1