Answer Key 5.1

$(-1,2)$
$(-4,3)$
$(-1,-3)$
$(-3,1)$
Parallel lines ∴ no intersection
$(-2,-2)$
$(-3,1)$
$(1,-2)$
$(-3,-1)$
Parallel lines ∴ no intersection
$\begin{array}{rrrrrrrrrr} \\ \\ \\ \\ \\ \\ \\ x&+&3y&=&-9\hspace{0.25in}&5x&+&3y&=&3 \\ -x&&&&-x\hspace{0.25in}&-5x&&&&-5x \\ \midrule \dfrac{3y}{3}&=&\dfrac{-x}{3}&-&\dfrac{9}{3}\hspace{0.25in}&\dfrac{3y}{3}&=&\dfrac{-5x}{3}&+&\dfrac{3}{3} \\ \\ y&=&-\dfrac{1}{3}x&-&3\hspace{0.25in}&y&=&-\dfrac{5}{3}x&+&1 \\ \\ (3,-4)&&&&&&&&& \end{array}$
$\begin{array}{rrrrrrrrrr} \\ \\ \\ \\ \\ \\ \\ x&+&4y&=&-12\hspace{0.25in}&2x&+&y&=&4 \\ -x&&&&-x\hspace{0.25in}&-2x&&&&-2x \\ \midrule \dfrac{4y}{4}&=&\dfrac{-x}{4}&-&\dfrac{12}{4} \hspace{0.25in}&y&=&-2x&+&4 \\ \\ y&=&-\dfrac{1}{4}x&+&3 \hspace{0.25in}&y&=&-2x&+&4 \\ \\ (4,-4)&&&&&&&&& \end{array}$

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