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Questions: Algebra BusinessCalculus
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Solve the linear system \(\displaystyle \begin{cases} x + y + 3 z = -14 \\ - 3 x - 2 y + 6 z = -51 \\ - 4 x - 6 y + 8 z = -58 \\ \end{cases}\)
The Solution is \(\displaystyle (7, -3, -6)\).
\begin{question}Solve the linear system
$\begin{cases}
x + y + 3 z = -14 \\
- 3 x - 2 y + 6 z = -51 \\
- 4 x - 6 y + 8 z = -58 \\
\end{cases}$
\soln{9cm}{The Solution is $(7, -3, -6)$.}
\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}
x + y + 3 z = -14 \\
- 3 x - 2 y + 6 z = -51 \\
- 4 x - 6 y + 8 z = -58 \\
\end{cases} " src="/equation_images/%20%5Cdisplaystyle%20%5Cbegin%7Bcases%7D%0A%09%20x%20%2B%20y%20%2B%203%20z%20%3D%20-14%20%5C%5C%20%0A%09%20-%203%20x%20-%202%20y%20%2B%206%20z%20%3D%20-51%20%5C%5C%20%0A%09%20-%204%20x%20-%206%20y%20%2B%208%20z%20%3D%20-58%20%5C%5C%20%0A%5Cend%7Bcases%7D%20" alt="LaTeX: \displaystyle \begin{cases}
x + y + 3 z = -14 \\
- 3 x - 2 y + 6 z = -51 \\
- 4 x - 6 y + 8 z = -58 \\
\end{cases} " data-equation-content=" \displaystyle \begin{cases}
x + y + 3 z = -14 \\
- 3 x - 2 y + 6 z = -51 \\
- 4 x - 6 y + 8 z = -58 \\
\end{cases} " /> </p> </p><p> <p>The Solution is <img class="equation_image" title=" \displaystyle (7, -3, -6) " src="/equation_images/%20%5Cdisplaystyle%20%287%2C%20-3%2C%20-6%29%20" alt="LaTeX: \displaystyle (7, -3, -6) " data-equation-content=" \displaystyle (7, -3, -6) " /> .</p> </p>