Question

Solve the following system by the substitution method.1/4x+2/3y=-17/43x-y=3

Answer 1

3x - y = 3.....3x - 3 = y

1/4x + 2/3(3x - 3) = -17/4
1/4x + 2x - 2 = -17/4 ...multiply everything by 4
x + 8x - 8 = -17
9x = -17 + 8
9x = - 9
x = -1

3x - y = 3
3(-1) - y = 3
-3 - y = 3
-3 - 3 = y
-6 = y

solution is (-1,-6)