1/2 x + 3/4 y = - 2 2/3 x + 5/6 y = - 2 Solve the system.

(2, - 4)

Step-by-step explanation:

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

2/3 x + 5/6 y = - 2

4 (1/2 x + 3/4 y = - 2) = - 2 (2x + 3y = - 8) Multiply by - 2 to eliminate the x's

6 (2/3 x + 5/6 y = - 2) = (4x + 5y = - 12)

-4x - 6y = 16 combine with the 2nd equation

-1y = 4

y = - 4

plug - 4 in for y to find x in either equation

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

1/2x - 3 = - 2

1/2x = 1

x = 2

(2, - 4)