\[\begin{aligned}&-5x+y=-2\\&-3x+6y=-12\end{aligned}\]
Available Methods
Substitution
Elimination
Matrix
1
Solve for yy in −5x+y=−2-5x+y=-2.
y=5x−2y=5x-2

2
Substitute y=5x−2y=5x-2 into −3x+6y=−12-3x+6y=-12.
27x−12=−1227x-12=-12

3
Solve for xx in 27x−12=−1227x-12=-12.
x=0x=0

4
Substitute x=0x=0 into y=5x−2y=5x-2.
y=−2y=-2

5
Therefore,
x=0y=−2\begin{aligned}&x=0\\&y=-2\end{aligned}

Done
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