# Test: Simultaneous Equations - Normal

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Question 1:   Solve: $\left\{\begin{array}{l}x+y=3\\ x-y=-1\end{array}$
$\left\{\begin{array}{l}x=1\\ y=2\end{array}$
$\left\{\begin{array}{l}x=3\\ y=0\end{array}$
$\left\{\begin{array}{l}x=-1\\ y=4\end{array}$
$\left\{\begin{array}{l}x=2\\ y=2\end{array}$
Question 2:   Solve: $\left\{\begin{array}{l}x+y=5\\ 2x+3y=13\end{array}$
$\left\{\begin{array}{l}x=2\\ y=2\end{array}$
$\left\{\begin{array}{l}x=-1\\ y=6\end{array}$
$\left\{\begin{array}{l}x=2\\ y=3\end{array}$
$\left\{\begin{array}{l}x=1\\ y=4\end{array}$
Question 3:   Solve: $\left\{\begin{array}{l}x-2y=-1\\ -5x+7y=5\end{array}$
$\left\{\begin{array}{l}x=-1\\ y=0\end{array}$
$\left\{\begin{array}{l}x=3\\ y=2\end{array}$
$\left\{\begin{array}{l}x=2\\ y=1\frac{1}{2}\end{array}$
$\left\{\begin{array}{l}x=-5\\ y=-2\end{array}$
Question 4:   Solve: $\left\{\begin{array}{l}\frac{1}{2}x+y=-3\\ \frac{1}{3}x-\frac{2}{15}y=2\end{array}$
$\left\{\begin{array}{l}x=1\\ y=-3\frac{1}{2}\end{array}$
$\left\{\begin{array}{l}x=3\\ y=-4\frac{1}{2}\end{array}$
$\left\{\begin{array}{l}x=2\\ y=-4\end{array}$
$\left\{\begin{array}{l}x=4\\ y=-5\end{array}$
Question 5:   Solve: $\left\{\begin{array}{l}2x+3y=2\\ -4x-9y=-5\end{array}$
$\left\{\begin{array}{l}y=-2\\ y=-3\end{array}$
$\left\{\begin{array}{l}x=\frac{1}{2}\\ y=\frac{1}{3}\end{array}$
$\left\{\begin{array}{l}x=1\\ y=2\end{array}$
$\left\{\begin{array}{l}y=-\frac{1}{2}\\ x=\frac{2}{3}\end{array}$
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