\(\text{www.the}\beta\text{etafunction.com}\)
Home
Login
Questions: Algebra BusinessCalculus
Please login to create an exam or a quiz.
Solve the linear system \(\displaystyle \begin{cases} 7 x - 6 y - 3 z = -26 \\ - 9 x - 8 y - z = -96 \\ - 8 x - 8 y + 9 z = -52 \\ \end{cases}\)
The Solution is \(\displaystyle (4, 7, 4)\).
\begin{question}Solve the linear system
$\begin{cases}
7 x - 6 y - 3 z = -26 \\
- 9 x - 8 y - z = -96 \\
- 8 x - 8 y + 9 z = -52 \\
\end{cases}$
\soln{9cm}{The Solution is $(4, 7, 4)$.}
\end{question}
\documentclass{article}
\usepackage{tikz}
\usepackage{amsmath}
\usepackage[margin=2cm]{geometry}
\usepackage{tcolorbox}
\newcounter{ExamNumber}
\newcounter{questioncount}
\stepcounter{questioncount}
\newenvironment{question}{{\noindent\bfseries Question \arabic{questioncount}.}}{\stepcounter{questioncount}}
\renewcommand{\labelenumi}{{\bfseries (\alph{enumi})}}
\newif\ifShowSolution
\newcommand{\soln}[2]{%
\ifShowSolution%
\noindent\begin{tcolorbox}[colframe=blue,title=Solution]#2\end{tcolorbox}\else%
\vspace{#1}%
\fi%
}%
\newcommand{\hideifShowSolution}[1]{%
\ifShowSolution%
%
\else%
#1%
\fi%
}%
\everymath{\displaystyle}
\ShowSolutiontrue
\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 - 6 y - 3 z = -26 \\
- 9 x - 8 y - z = -96 \\
- 8 x - 8 y + 9 z = -52 \\
\end{cases} " src="/equation_images/%20%5Cdisplaystyle%20%5Cbegin%7Bcases%7D%0A%09%207%20x%20-%206%20y%20-%203%20z%20%3D%20-26%20%5C%5C%20%0A%09%20-%209%20x%20-%208%20y%20-%20z%20%3D%20-96%20%5C%5C%20%0A%09%20-%208%20x%20-%208%20y%20%2B%209%20z%20%3D%20-52%20%5C%5C%20%0A%5Cend%7Bcases%7D%20" alt="LaTeX: \displaystyle \begin{cases}
7 x - 6 y - 3 z = -26 \\
- 9 x - 8 y - z = -96 \\
- 8 x - 8 y + 9 z = -52 \\
\end{cases} " data-equation-content=" \displaystyle \begin{cases}
7 x - 6 y - 3 z = -26 \\
- 9 x - 8 y - z = -96 \\
- 8 x - 8 y + 9 z = -52 \\
\end{cases} " /> </p> </p><p> <p>The Solution is <img class="equation_image" title=" \displaystyle (4, 7, 4) " src="/equation_images/%20%5Cdisplaystyle%20%284%2C%207%2C%204%29%20" alt="LaTeX: \displaystyle (4, 7, 4) " data-equation-content=" \displaystyle (4, 7, 4) " /> .</p> </p>