Answer:
x = -5
y = -6
Step-by-step explanation:
5x - 6y = 11
-7x + 5y = 5
We could eliminate the 'y' by multiplying the first equation by 5 and the second equation by 6 to get the following:
5(5x - 6y) = 11(5) → 25x - 30 y = 55
6(-7x + 5y) = 5(6) → -42x + 30y = 30
Now we can add the two equations to get:
-17x = 85
x = -85/17 which is x = -5
Now we can plug in -5 into the first equation to solve for 'y':
5(-5) - 6y = 11
-25 - 6y = 11
-6y = 36
y = -6
CHECK:
-7(-5) + 5(-6) should equal 5
35 + (-30) = 5
5 = 5
