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Questions: Algebra BusinessCalculus
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Solve \(\displaystyle | 5 x - 1 |=56\)
Splitting into two linear equations gives \(\displaystyle 5 x - 1=-56\) and \(\displaystyle 5 x - 1=56\). Solving gives the two solutions \(\displaystyle x=\frac{57}{5}\) and \(\displaystyle x=-11\)
\begin{question}Solve $| 5 x - 1 |=56$
\soln{9cm}{Splitting into two linear equations gives $5 x - 1=-56$ and $5 x - 1=56$. Solving gives the two solutions $x=\frac{57}{5}$ and $x=-11$}
\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 | 5 x - 1 |=56 " src="/equation_images/%20%5Cdisplaystyle%20%7C%205%20x%20-%201%20%7C%3D56%20" alt="LaTeX: \displaystyle | 5 x - 1 |=56 " data-equation-content=" \displaystyle | 5 x - 1 |=56 " /> </p> </p>
<p> <p>Splitting into two linear equations gives <img class="equation_image" title=" \displaystyle 5 x - 1=-56 " src="/equation_images/%20%5Cdisplaystyle%205%20x%20-%201%3D-56%20" alt="LaTeX: \displaystyle 5 x - 1=-56 " data-equation-content=" \displaystyle 5 x - 1=-56 " /> and <img class="equation_image" title=" \displaystyle 5 x - 1=56 " src="/equation_images/%20%5Cdisplaystyle%205%20x%20-%201%3D56%20" alt="LaTeX: \displaystyle 5 x - 1=56 " data-equation-content=" \displaystyle 5 x - 1=56 " /> . Solving gives the two solutions <img class="equation_image" title=" \displaystyle x=\frac{57}{5} " src="/equation_images/%20%5Cdisplaystyle%20x%3D%5Cfrac%7B57%7D%7B5%7D%20" alt="LaTeX: \displaystyle x=\frac{57}{5} " data-equation-content=" \displaystyle x=\frac{57}{5} " /> and <img class="equation_image" title=" \displaystyle x=-11 " src="/equation_images/%20%5Cdisplaystyle%20x%3D-11%20" alt="LaTeX: \displaystyle x=-11 " data-equation-content=" \displaystyle x=-11 " /> </p> </p>