Answer: x = 3/4; y = 19/6
Explanation:
plug in y = 2/3x + 8/3 into 4x - 2y = -4
4x - 2(2/3x + 8/3) = -4
4x - 4/3x - 18/3 = -4
12/3x - 4/3x = -12/3 + 18/3
8/3x = 6/3
8/3x = 2
x = 2(3/8)
x = 6/8 = 3/4
plug the x value into y = 2/3x + 8/3
y = 2/3(3/4) + 8/3
y = 1/2 + 8/3
y = 3/6 + 16/6
y = 19/6