Solve for x in the second equation.
Just add 1 to both sides to get x = 9y + 1
Then plug 9y + 1 into the first equation for x
7(9y+1) - 9y = 1
63y + 7 - 9y = 1
54y + 7 = 1
54y = -6
y = -6/54 or -1/9
Plug y back into one of the equations to get x = 0
Answer: (0, -1/9)