Question

Which system is equivalent to the system shown and could be used to solve the system of equations correctly using the elimination method? 5x – 4y = 18 x + 3y = -4

Answer 1

The solution is (2, -2)

Explanation:

In order to solve this, multiply the second equation by -5 and then add through.

5x - 4y = 18

-5x - 15y = 20

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-19y = 38

y = -2

Now that we have the value of y, we can solve for x.

x + 3y = -4

x + 3(-2) = -4

x - 6 = -4

x = 2