Solve the system of equations: { x - 6y + 14 = 0, -2x + 6y + 8 = 0 }

Add the two equations together:

(x - 6y + 14) + (-2x + 6y + 8) = 0 + 0

-x + 22 = 0

x = 22

Substitute x = 22 into the first equation:

22 - 6y + 14 = 0

36 - 6y = 0

6y = 36

y = 6

The solution is x = 22, y = 6.