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)

good luck!

cutie~