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Questions: Algebra BusinessCalculus
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Solve \(\displaystyle | 8 x + 3 |=69\)
Splitting into two linear equations gives \(\displaystyle 8 x + 3=-69\) and \(\displaystyle 8 x + 3=69\). Solving gives the two solutions \(\displaystyle x=\frac{33}{4}\) and \(\displaystyle x=-9\)
\begin{question}Solve $| 8 x + 3 |=69$
\soln{9cm}{Splitting into two linear equations gives $8 x + 3=-69$ and $8 x + 3=69$. Solving gives the two solutions $x=\frac{33}{4}$ and $x=-9$}
\end{question}
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\begin{document}\begin{question}(10pts) The question goes here!
\soln{9cm}{The solution goes here.}
\end{question}\end{document}<p> <p>Solve <img class="equation_image" title=" \displaystyle | 8 x + 3 |=69 " src="/equation_images/%20%5Cdisplaystyle%20%7C%208%20x%20%2B%203%20%7C%3D69%20" alt="LaTeX: \displaystyle | 8 x + 3 |=69 " data-equation-content=" \displaystyle | 8 x + 3 |=69 " /> </p> </p>
<p> <p>Splitting into two linear equations gives <img class="equation_image" title=" \displaystyle 8 x + 3=-69 " src="/equation_images/%20%5Cdisplaystyle%208%20x%20%2B%203%3D-69%20" alt="LaTeX: \displaystyle 8 x + 3=-69 " data-equation-content=" \displaystyle 8 x + 3=-69 " /> and <img class="equation_image" title=" \displaystyle 8 x + 3=69 " src="/equation_images/%20%5Cdisplaystyle%208%20x%20%2B%203%3D69%20" alt="LaTeX: \displaystyle 8 x + 3=69 " data-equation-content=" \displaystyle 8 x + 3=69 " /> . Solving gives the two solutions <img class="equation_image" title=" \displaystyle x=\frac{33}{4} " src="/equation_images/%20%5Cdisplaystyle%20x%3D%5Cfrac%7B33%7D%7B4%7D%20" alt="LaTeX: \displaystyle x=\frac{33}{4} " data-equation-content=" \displaystyle x=\frac{33}{4} " /> and <img class="equation_image" title=" \displaystyle x=-9 " src="/equation_images/%20%5Cdisplaystyle%20x%3D-9%20" alt="LaTeX: \displaystyle x=-9 " data-equation-content=" \displaystyle x=-9 " /> </p> </p>