Question

Solve these two equations using the Addition Method (also known as the elimination method).

3/4x + 1/3y = -1/2

1/2x - 5/6y = -7/2

Answer 1

(-2, 3)

Explanation:

5/2(3/4x + 1/3y = -1/2)

1/2x - 5/6y = -7/2

15/8x + 5/6y = -5/4

19/8x = -19/4

x = -2

1/2(-2) - 5/6y = -7/2

-1 -5/6y = -7/2

-5/6y = -5/2

y = 3