Is this 11x-6y=-4, 9x-7y=-3?
If so:
11x=6y-4, x=(6y-4)/11,
9(6y-4)/11-7y=-3,
9(6y-4)-77y=-33,
54y-36-77y=-33,
-23y=3, y=-3/23,
x=(6y-4)/11=(-18/23-4)/11=-(18+92)/(23×11)=-110/253=-10/23.
So x=-10/23 and y=-3/23.
This solution seems to indicate a mistake in the question.
If you meant 11x-6y=-4, 9x-7y=3, then:
Substituting x=(6y-4)/11 into 9x-7y=3:
9(6y-4)/11-7y=3,
54y-36-77y=33,
-23y=69, y=-69/23=-3.
x=(6y-4)/11=-22/11=-2.
So x=-2 and y=-3. This is a more likely solution.
Can also be solved:
11x-6y=-4
9x-7y=3
77x-42y=-28 (multiplying 1st equation by 7)
54x-42y=18 (multiplying 2nd equation by 6)
Subtract:
23x=-46, x=-2, so substituting for x in either equation:
-22-6y=-4, -18=6y, y=-3, and -18-7y=3, -7y=21, y=-3.