Question

Solve the system of equations using elimination.

8x + 7y = -16
10x + 7y = -6

A)
(3, 6)


B)
(8, 5)


C)
(7, 10)


D)
(5, -8)

Answer 1

The solution would be D) (5, -8)

Explanation:

To use this method, start by multiplying the second equation by -1. Then add the two equations together.

8x + 7y = -16

-10x - 7y = 6

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-2x = -10

x = 5

Now that we have the value of x, use it to solve either equation for y.

10x + 7y = -6

10(5) + 7y = -6

50 + 7y = -6

7y = -56

y = -8