\[\begin{aligned}&2x-y=9\\&3x+4y=-14\end{aligned}\]
Available Methods
Substitution
Elimination
Matrix
1
Solve for yy in 2x−y=92x-y=9.
y=2x−9y=2x-9

2
Substitute y=2x−9y=2x-9 into 3x+4y=−143x+4y=-14.
11x−36=−1411x-36=-14

3
Solve for xx in 11x−36=−1411x-36=-14.
x=2x=2

4
Substitute x=2x=2 into y=2x−9y=2x-9.
y=−5y=-5

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

Done
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