Answer
x = -2
y = 2
Step-by-step explanation
This is a simultaneous equation
-6x + 2y = 16
-7x + 6y = 26
Multiply the first equation by 3 and the second equation by 1
-6x + 2y = 16
-7x + 6y = 26
becomes
-18x + 6y = 48
-7x + 6y = 26
Subtract equation 2 from equation 1
-18x + 6y = 48
-7x + 6y = 26
_______________
-18x - (-7x) + 6y - 6y = 48 - 26
-18x + 7x = 22
-11x = 22
Divide both sides by -11
(-11x/-11) = (22/-11)
x = -2
We can then solve for y using any of the two original equations
-6x + 2y = 16
-6 (-2) + 2y = 16
12 + 2y = 16
2y = 16 - 12
2y = 4
Divide both sides by 2
(2y/2) = (4/2)
y = 2
Hope this Helps!!!