1/3x+y=9, - 2x+2y = - 6 ... what is x and y, using the substitution method?

1/3x + y = 9

y = - 1/3x + 9

-2x + 2y = - 6

-2x + 2 (-1/3x + 9) = - 6

-2x - 2/3x + 18 = - 6

-6/3x - 2/3x = - 6 - 18

-8/3x = - 24

x = - 24 * - 3/8

x = 9 < = = here is y

-2x + 2y = - 6

-2 (9) + 2y = - 6

-18 + 2y = - 6

2y = - 6 + 18

2y = 12

x = 12/2

x = 6 < = = = here is x