Answer for the first equation:
(7, -1)
Explanation:
Original Equation: 5(x - 3y) - 2x = 6 When x = 3y
Substitute in the 3y for x:
5(3y - 3y) - 2(3y) = 6
5(0) - 6y = 6
-6y = 6
y = -1
Plug -1 in for y in the original equation:
5(x -3(-1)) - 2x = 6
5(x + 3) - 2x = 6
5x + 15 - 2x = 6
3x + 15 = 6
3x = -9
x = -3