To get the same solution for both systems, the two systems must be equivalent. To determine the value of c that would make the two systems equivalent, we can compare the equations in each system.
In the first system, we have:
4x + y = -1
x + y = 2
In the second system, we have:
8x + 2y = -2
-4x + cy = -8
We can see that the second equation in the second system is equivalent to the second equation in the first system. Thus, the value of c that would make the two systems equivalent is the coefficient of y from the second equation in the second system, which is -2.
Therefore, the answer is c = -2.
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
-2
-2
1
1
2
2
-4
-4
4
4
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1 answer
1 answer