9514 1404 393
Answer:
(x, y) = (-18, -30)
Step-by-step explanation:
When choosing to solve by substitution, it is convenient if one of the variables has a coefficient of 1 or -1. Here, y has a coefficient of 1 in the second equation, making it easy to rearrange that equation to give an expression for y:
y = 2x +6 . . . . . add 2x to the second equation
Using this expression, we can substitute for y in the first equation:
-3x +2(2x +6) = -6
x + 12 = -6 . . . . . . . . . simplify
x = -18 . . . . . . . . . . . subtract 12
y = 2(-18) +6 = -30 . . . . substitute into the equation for y
The solution is (x, y) = (-18, -30).
