# Test: Simultaneous Equations - Normal

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Question 1:   Solve: $\left\{\begin{array}{l}x+y=3\\ x-y=-1\end{array}$
$\left\{\begin{array}{l}x=-1\\ y=4\end{array}$
$\left\{\begin{array}{l}x=2\\ y=2\end{array}$
$\left\{\begin{array}{l}x=1\\ y=2\end{array}$
$\left\{\begin{array}{l}x=3\\ y=0\end{array}$
Question 2:   Solve: $\left\{\begin{array}{l}x+y=5\\ 2x+3y=13\end{array}$
$\left\{\begin{array}{l}x=2\\ y=3\end{array}$
$\left\{\begin{array}{l}x=1\\ y=4\end{array}$
$\left\{\begin{array}{l}x=2\\ y=2\end{array}$
$\left\{\begin{array}{l}x=-1\\ y=6\end{array}$
Question 3:   Solve: $\left\{\begin{array}{l}x-2y=-1\\ -5x+7y=5\end{array}$
$\left\{\begin{array}{l}x=-1\\ y=0\end{array}$
$\left\{\begin{array}{l}x=-5\\ y=-2\end{array}$
$\left\{\begin{array}{l}x=2\\ y=1\frac{1}{2}\end{array}$
$\left\{\begin{array}{l}x=3\\ y=2\end{array}$
Question 4:   Solve: $\left\{\begin{array}{l}\frac{1}{2}x+y=-3\\ \frac{1}{3}x-\frac{2}{15}y=2\end{array}$
$\left\{\begin{array}{l}x=3\\ y=-4\frac{1}{2}\end{array}$
$\left\{\begin{array}{l}x=4\\ y=-5\end{array}$
$\left\{\begin{array}{l}x=2\\ y=-4\end{array}$
$\left\{\begin{array}{l}x=1\\ y=-3\frac{1}{2}\end{array}$
Question 5:   Solve: $\left\{\begin{array}{l}2x+3y=2\\ -4x-9y=-5\end{array}$
$\left\{\begin{array}{l}x=1\\ y=2\end{array}$
$\left\{\begin{array}{l}x=-\frac{1}{2}\\ y=\frac{2}{3}\end{array}$
$\left\{\begin{array}{l}x=\frac{1}{2}\\ y=\frac{1}{3}\end{array}$
$\left\{\begin{array}{l}x=-2\\ y=-3\end{array}$
Question 6:   Solve: $\left\{\begin{array}{l}5x+2y=-6\\ -3x+7y=20\end{array}$
$\left\{\begin{array}{l}x=-1\\ y=3\end{array}$
$\left\{\begin{array}{l}x=-2\\ y=2\end{array}$
$\left\{\begin{array}{l}x=\frac{1}{2}\\ y=-4\end{array}$
$\left\{\begin{array}{l}x=\frac{1}{3}\\ y=-6\end{array}$
Question 7:   Solve: $\left\{\begin{array}{l}\frac{1}{2}x+y+2=0\\ y=x+7\end{array}$
$\left\{\begin{array}{l}x=3\\ y=4\end{array}$
$\left\{\begin{array}{l}x=2\\ y=1\end{array}$
$\left\{\begin{array}{l}x=-5\\ y=2\end{array}$
$\left\{\begin{array}{l}x=-6\\ y=1\end{array}$
Question 8:   Solve: $\left\{\begin{array}{l}2x-4y+6=0\\ \frac{2}{3}x-\frac{1}{3}y-4=0\end{array}$
$\left\{\begin{array}{l}x=4\\ y=2\end{array}$
$\left\{\begin{array}{l}x=6\\ y=5\end{array}$
$\left\{\begin{array}{l}x=8\\ y=7\end{array}$
$\left\{\begin{array}{l}x=9\\ y=6\end{array}$
Question 9:   Solve: $\left\{\begin{array}{l}2\left(x+1\right)+3\left(x+y\right)=0\\ 3\left(x+2\right)+5y=-8\end{array}$
$\left\{\begin{array}{l}x=3\\ y=-2\end{array}$
$\left\{\begin{array}{l}x=1\\ y=-6\end{array}$
$\left\{\begin{array}{l}x=2\\ y=-4\end{array}$
$\left\{\begin{array}{l}x=2\\ y=-5\end{array}$
Question 10:   Solve: $\left\{\begin{array}{l}3\left(x-y\right)-4\left(x+y\right)=-4\\ -7\left(x+y\right)-14y=-32\end{array}$
$\left\{\begin{array}{l}x=5\\ y=-\frac{1}{7}\end{array}$
$\left\{\begin{array}{l}x=-10\\ y=2\end{array}$
$\left\{\begin{array}{l}x=-3\\ y=1\end{array}$
$\left\{\begin{array}{l}x=0\\ y=\frac{4}{7}\end{array}$