Solve the system of equations: x - 2y = 8, x - 3y = 6

Subtract the second equation from the first:

(x - 2y) - (x - 3y) = 8 - 6

y = 2

Substitute y = 2 into the first equation:

x - 2(2) = 8

x - 4 = 8

x = 12

Solution: x = 12, y = 2