9514 1404 393
Answer:
(x, y) = (-1, -3)
Explanation:
You notice that the coefficient of x in the first equation is double the opposite of the coefficient of x in the second equation. This means we can make the x-term disappear by adding twice the second equation to the first.
(-6x +8y) +2(3x) = (-18) +2(y)
8y = -18 +2y . . . simplify
6y = -18 . . . . . . . subtract 2y
y = -3 . . . . . . . . . divide by 6
Substituting into the second equation, we have ...
3x = -3
x = -1 . . . . . . . . . divide by 3
The solution is (x, y) = (-1, -3).