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Algebra
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Solve \(\displaystyle | 9 x + 5 |=121\)


Splitting into two linear equations gives \(\displaystyle 9 x + 5=-121\) and \(\displaystyle 9 x + 5=121\). Solving gives the two solutions \(\displaystyle x=\frac{116}{9}\) and \(\displaystyle x=-14\)

Download \(\LaTeX\)

\begin{question}Solve $| 9 x + 5 |=121$
    \soln{9cm}{Splitting into two linear equations gives $9 x + 5=-121$ and $9 x + 5=121$. Solving gives the two solutions $x=\frac{116}{9}$ and $x=-14$}

\end{question}

Download Question and Solution Environment\(\LaTeX\)
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\begin{document}\begin{question}(10pts) The question goes here!
    \soln{9cm}{The solution goes here.}

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HTML for Canvas
<p> <p>Solve  <img class="equation_image" title=" \displaystyle | 9 x + 5 |=121 " src="/equation_images/%20%5Cdisplaystyle%20%7C%209%20x%20%2B%205%20%7C%3D121%20" alt="LaTeX:  \displaystyle | 9 x + 5 |=121 " data-equation-content=" \displaystyle | 9 x + 5 |=121 " /> </p> </p>
HTML for Canvas
<p> <p>Splitting into two linear equations gives  <img class="equation_image" title=" \displaystyle 9 x + 5=-121 " src="/equation_images/%20%5Cdisplaystyle%209%20x%20%2B%205%3D-121%20" alt="LaTeX:  \displaystyle 9 x + 5=-121 " data-equation-content=" \displaystyle 9 x + 5=-121 " />  and  <img class="equation_image" title=" \displaystyle 9 x + 5=121 " src="/equation_images/%20%5Cdisplaystyle%209%20x%20%2B%205%3D121%20" alt="LaTeX:  \displaystyle 9 x + 5=121 " data-equation-content=" \displaystyle 9 x + 5=121 " /> . Solving gives the two solutions  <img class="equation_image" title=" \displaystyle x=\frac{116}{9} " src="/equation_images/%20%5Cdisplaystyle%20x%3D%5Cfrac%7B116%7D%7B9%7D%20" alt="LaTeX:  \displaystyle x=\frac{116}{9} " data-equation-content=" \displaystyle x=\frac{116}{9} " />  and  <img class="equation_image" title=" \displaystyle x=-14 " src="/equation_images/%20%5Cdisplaystyle%20x%3D-14%20" alt="LaTeX:  \displaystyle x=-14 " data-equation-content=" \displaystyle x=-14 " /> </p> </p>