Felix, this is the solution to the problem:
We have:
5x – 4y = 64
10x + 11y = 14
_____________
Multipliying the first equation by -2, we have:
-10x +8y = -128
10x + 11y = 14
_____________
19y = -114
Dividing by 19 at both sides:
19y/19 = -114/19
y = -6
__________
Substituting y in the first equation and solving for x:
5x - 4 * -6 = 64
5x + 24 = 64
Subtracting 24 at both sides:
5x + 24 - 24 = 64 - 24
5x = 40
Dividing by 5 at both sides:
5x/5 = 40/5
x = 8
The answer is (8, -6)
