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Questions: Algebra BusinessCalculus
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Solve \(\displaystyle | 14 x - 1 |=71\)
Splitting into two linear equations gives \(\displaystyle 14 x - 1=-71\) and \(\displaystyle 14 x - 1=71\). Solving gives the two solutions \(\displaystyle x=\frac{36}{7}\) and \(\displaystyle x=-5\)
\begin{question}Solve $| 14 x - 1 |=71$
\soln{9cm}{Splitting into two linear equations gives $14 x - 1=-71$ and $14 x - 1=71$. Solving gives the two solutions $x=\frac{36}{7}$ and $x=-5$}
\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 | 14 x - 1 |=71 " src="/equation_images/%20%5Cdisplaystyle%20%7C%2014%20x%20-%201%20%7C%3D71%20" alt="LaTeX: \displaystyle | 14 x - 1 |=71 " data-equation-content=" \displaystyle | 14 x - 1 |=71 " /> </p> </p>
<p> <p>Splitting into two linear equations gives <img class="equation_image" title=" \displaystyle 14 x - 1=-71 " src="/equation_images/%20%5Cdisplaystyle%2014%20x%20-%201%3D-71%20" alt="LaTeX: \displaystyle 14 x - 1=-71 " data-equation-content=" \displaystyle 14 x - 1=-71 " /> and <img class="equation_image" title=" \displaystyle 14 x - 1=71 " src="/equation_images/%20%5Cdisplaystyle%2014%20x%20-%201%3D71%20" alt="LaTeX: \displaystyle 14 x - 1=71 " data-equation-content=" \displaystyle 14 x - 1=71 " /> . Solving gives the two solutions <img class="equation_image" title=" \displaystyle x=\frac{36}{7} " src="/equation_images/%20%5Cdisplaystyle%20x%3D%5Cfrac%7B36%7D%7B7%7D%20" alt="LaTeX: \displaystyle x=\frac{36}{7} " data-equation-content=" \displaystyle x=\frac{36}{7} " /> and <img class="equation_image" title=" \displaystyle x=-5 " src="/equation_images/%20%5Cdisplaystyle%20x%3D-5%20" alt="LaTeX: \displaystyle x=-5 " data-equation-content=" \displaystyle x=-5 " /> </p> </p>