9514 1404 393
Answer:
(x, y) = (9, 5)
Explanation:
My preferred method is to solve a system using a graphing calculator. That result is attached.
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Here, you can multiply the second equation by 4 and add the first equation.
4(x -3y) +(-4x +9y) = 4(-6) +(9)
-3y = -15 . . . . . . . . . . simplify
y = 5 . . . . . . . . . . . . divide by -3
x -3(5) = -6
x = -6 +15 = 9
The solution is (x, y) = (9, 5).