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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) -4 2 4 1 -2

1 answer

To find the value of c that will give the same solution for both systems, we need to compare the coefficients of x and y in both systems.

For the first system, the coefficient of x is 4 and the coefficient of y is 1.

For the second system, the coefficient of x is -4 and the coefficient of y is c.

To get the same solution for both systems, we need the coefficients to be equal. Therefore, we have:

4 = -4
1 = c

From these equations, we can see that the value of c that will give the same solution for both systems is 1.

Therefore, the answer is c = 1.