Answer:
(-6, -4)
Explanation:
Let's eliminate x using the addition / subtraction method:
-2x + 4y = -4
x - 3y = 6
becomes
-2x + 4y = -4
2x - 6y = 12
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-2y = 8
Dividing both sides by -2, we get y = -4.
Substituting -4 into the 2nd original equation results in:
x - 3(-4) = 6, or x + 12 = 6, or x = -6
The solution of this system of linear equations is therefore (-6, -4).