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Questions: Algebra BusinessCalculus
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Solve the linear system \(\displaystyle \begin{cases} - 7 x + 3 y - 2 z = 75 \\ 8 x - 6 y + z = -87 \\ - 6 x + 5 y - 8 z = 118 \\ \end{cases}\)
The Solution is \(\displaystyle (-7, 4, -7)\).
\begin{question}Solve the linear system
$\begin{cases}
- 7 x + 3 y - 2 z = 75 \\
8 x - 6 y + z = -87 \\
- 6 x + 5 y - 8 z = 118 \\
\end{cases}$
\soln{9cm}{The Solution is $(-7, 4, -7)$.}
\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 the linear system
<img class="equation_image" title=" \displaystyle \begin{cases}
- 7 x + 3 y - 2 z = 75 \\
8 x - 6 y + z = -87 \\
- 6 x + 5 y - 8 z = 118 \\
\end{cases} " src="/equation_images/%20%5Cdisplaystyle%20%5Cbegin%7Bcases%7D%0A%09%20-%207%20x%20%2B%203%20y%20-%202%20z%20%3D%2075%20%5C%5C%20%0A%09%208%20x%20-%206%20y%20%2B%20z%20%3D%20-87%20%5C%5C%20%0A%09%20-%206%20x%20%2B%205%20y%20-%208%20z%20%3D%20118%20%5C%5C%20%0A%5Cend%7Bcases%7D%20" alt="LaTeX: \displaystyle \begin{cases}
- 7 x + 3 y - 2 z = 75 \\
8 x - 6 y + z = -87 \\
- 6 x + 5 y - 8 z = 118 \\
\end{cases} " data-equation-content=" \displaystyle \begin{cases}
- 7 x + 3 y - 2 z = 75 \\
8 x - 6 y + z = -87 \\
- 6 x + 5 y - 8 z = 118 \\
\end{cases} " /> </p> </p><p> <p>The Solution is <img class="equation_image" title=" \displaystyle (-7, 4, -7) " src="/equation_images/%20%5Cdisplaystyle%20%28-7%2C%204%2C%20-7%29%20" alt="LaTeX: \displaystyle (-7, 4, -7) " data-equation-content=" \displaystyle (-7, 4, -7) " /> .</p> </p>