Answer
(-4, 3)
Work Step by Step
Solve for x in terms of y in one of the equations:
x + 3y = 5
x = 5 - 3y
Insert the equation for x in terms of y in the second equation:
5(5 - 3y) + 6y = -2
25 - 15y + 6y = -2
25 - 9y = -2
27 = 9y
3 = y
Let y = 3 in the first equation to solve for x:
x + 3(3) = 5
x = -4
Check the solution (-4, 3) in the second equation:
5(-4) + 6(3) = -2
-20 + 18 = -2
-2 = -2; True