8x-9y=16.5 and 7y-2x=-6.5 rearrange as
8x - 9y = 16.5
-2x + 7y = -6.5 multiply this equation by 4 ...so we have....
8x - 9y = 16.5
-8x + 28y = - 26 add these equations together
19y = -9.5 divide both sides by 19
y = -1/2
Now, substitute this back into any equation to find x
-2x + 7(-1/2) = -6.5
-2x - 7/2 = - 13/2 add 7/2 to both sides
-2x = -6/2
-2x = -3 divide both sides by -2
x = 3/2
So the solution is (x, y) = (3/2, -1/2)
Here's a graph of both lines and the solution point ......https://www.desmos.com/calculator/7wcyyhal17