y = 1/3x + 8 and 2x - y = 2

Rearrange the second as y = 2x - 2

Set these y's equal and we have that

(1/3)x + 8 = 2x - 2 add 2 to both sides, subtract (1/3)x from both sides

10 = 2x - (1/3) x

10 = 6/3 x - 1/3 x

10 = 5/3 x multiply both sides by (3/5)

10 (3/5) = x = 30 / 5 = 6