y= 9/11x-17

9x-10y=179

You need to use parentheses to tell us what the problem is. Is equation 1,
y = 9/(11x-17) or is it
y = (9/11)x - 17?

y= 9/11x-17

9x-10y=179

Rewrite them as
11 y - 9 x = -187
and
-10 y + 9x = 179
Add the last two and you get
y = -8

Substitute in any equation for x.
For example,
-88 - 9x = -187
Solve for x to complete the problem.