43 Practice: Systems of Linear Equations (5.1 – 5.2)

5.1 Graphed Solutions

For questions 1 to 12, find the intersection point of each system of equations.

$\left\{ \begin{array}{rrrrr} y&=&-x&+&1 \\ y&=&-5x&-&3 \right. \end{array}$
$\left\{ \begin{array}{rrrrr} y&=&-\dfrac{5}{4}x&-&2 \\ \\ y&=&-\dfrac{1}{4}x&+&2 \right. \end{array}$
$\left\{ \begin{array}{rrrrr} y&=&-3&& \\ y&=&-x&-&4 \right. \end{array}$
$\left\{ \begin{array}{rrrrr} y&=&-x&-&2 \\ y&=&\dfrac{2}{3}x&+&3 \right. \end{array}$
$\left\{ \begin{array}{rrrrr} y&=&-\dfrac{3}{4}x&+&1 \\ \\ y&=&-\dfrac{3}{4}x&+&2 \right. \end{array}$
$\left\{ \begin{array}{rrrrr} y&=&2x&+&2 \\ y&=&-x&-&4 \right. \end{array}$
$\left\{ \begin{array}{rrrrr} y&=&\dfrac{1}{3}x&+&2 \\ \\ y&=&-\dfrac{5}{3}x&-&4 \right. \end{array}$
$\left\{ \begin{array}{rrrrr} y&=&2x&-&4 \\ y&=&-4x&+&2 \right. \end{array}$
$\left\{ \begin{array}{rrrrr} y&=&\dfrac{5}{3}x&+&4 \\ \\ y&=&-\dfrac{2}{3}x&-&3 \right. \end{array}$
$\left\{ \begin{array}{rrrrr} y&=&-\dfrac{1}{2}x&+&4 \\ \\ y&=&-\dfrac{1}{2}x&+&1 \right. \end{array}$
$\left\{ \begin{array}{rrrrr} x&+&3y&=&-9 \\ 5x&+&3y&=&3 \right. \end{array}$
$\left\{ \begin{array}{rrrrr} x&+&4y&=&-12 \\ 2x&+&y&=&4 \right. \end{array}$

<a class=”internal” href=”/intermediatealgebraberg/back-matter/answer-key-5-1/”>Chapter 5.1 Answer Key

5.2 Substitution Solutions

For questions 1 to 20, solve each system of equations by substitution.

$\left\{ \begin{array}{rrrrr} y&=&-3x&& \\ y&=&6x&-&9 \right. \end{array}$
$\left\{ \begin{array}{rrrrr} y&=&x&+&5 \\ y&=&-2x&-&4 \right. \end{array}$
$\left\{ \begin{array}{rrrrr} y&=&-2x&-&9 \\ y&=&2x&-&1 \right. \end{array}$
$\left\{ \begin{array}{rrrrr} y&=&-6x&+&3 \\ y&=&6x&+&3 \right. \end{array}$
$\left\{ \begin{array}{rrrrr} y&=&6x&+&4 \\ y&=&-3x&-&5 \right. \end{array}$
$\left\{ \begin{array}{rrrrr} y&=&3x&+&13 \\ y&=&-2x&-&22 \right. \end{array}$
$\left\{ \begin{array}{rrrrr} y&=&3x&+&2 \\ y&=&-3x&+&8 \right. \end{array}$
$\left\{ \begin{array}{rrrrr} y&=&-2x&-&9 \\ y&=&-5x&-&21 \right. \end{array}$
$\left\{ \begin{array}{rrrrr} y&=&2x&-&3 \\ y&=&-2x&+&9 \right. \end{array}$
$\left\{ \begin{array}{rrrrr} y&=&7x&-&24 \\ y&=&-3x&+&16 \right. \end{array}$
$\left\{ \begin{array}{rrrrrrr} &&y&=&3x&-&4 \\ 3x&-&3y&=&-6&& \right. \end{array}$
$\left\{ \begin{array}{rrrrrrr} -x&+&3y&=&12&& \\ &&y&=&6x&+&21 \right. \end{array}$
$\left\{ \begin{array}{rrrrrrr} &&y&=&-6&& \\ 3x&-&6y&=&30&& \right. \end{array}$
$\left\{ \begin{array}{rrrrrrr} 6x&-&4y&=&-8&& \\ &&y&=&-6x&+&2 \right. \end{array}$
$\left\{ \begin{array}{rrrrrrr} &&y&=&-5&& \\ 3x&+&4y&=&-17&& \right. \end{array}$
$\left\{ \begin{array}{rrrrrrr} 7x&+&2y&=&-7&& \\ &&y&=&5x&+&5 \right. \end{array}$
$\left\{ \begin{array}{rrrrr} -6x&+&6y&=&-12 \\ 8x&-&3y&=&16 \right. \end{array}$
$\left\{ \begin{array}{rrrrr} -8x&+&2y&=&-6 \\ -2x&+&3y&=&11 \right. \end{array}$
$\left\{ \begin{array}{rrrrr} 2x&+&3y&=&16 \\ -7x&-&y&=&20 \right. \end{array}$
$\left\{ \begin{array}{rrrrr} -x&-&4y&=&-14 \\ -6x&+&8y&=&12 \right. \end{array}$

<a class=”internal” href=”/intermediatealgebraberg/back-matter/answer-key-5-2/”>Answer Key 5.2

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