\(\text{www.the}\beta\text{etafunction.com}\)
Home
Login
Questions: Algebra BusinessCalculus
Please login to create an exam or a quiz.
Solve the linear system \(\displaystyle \begin{cases} - 8 x + 6 y - 9 z = 84 \\ 9 x + 6 y + z = 2 \\ - 2 x - 5 y - 9 z = -51 \\ \end{cases}\)
The Solution is \(\displaystyle (-6, 9, 2)\).
\begin{question}Solve the linear system
$\begin{cases}
- 8 x + 6 y - 9 z = 84 \\
9 x + 6 y + z = 2 \\
- 2 x - 5 y - 9 z = -51 \\
\end{cases}$
\soln{9cm}{The Solution is $(-6, 9, 2)$.}
\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}
- 8 x + 6 y - 9 z = 84 \\
9 x + 6 y + z = 2 \\
- 2 x - 5 y - 9 z = -51 \\
\end{cases} " src="/equation_images/%20%5Cdisplaystyle%20%5Cbegin%7Bcases%7D%0A%09%20-%208%20x%20%2B%206%20y%20-%209%20z%20%3D%2084%20%5C%5C%20%0A%09%209%20x%20%2B%206%20y%20%2B%20z%20%3D%202%20%5C%5C%20%0A%09%20-%202%20x%20-%205%20y%20-%209%20z%20%3D%20-51%20%5C%5C%20%0A%5Cend%7Bcases%7D%20" alt="LaTeX: \displaystyle \begin{cases}
- 8 x + 6 y - 9 z = 84 \\
9 x + 6 y + z = 2 \\
- 2 x - 5 y - 9 z = -51 \\
\end{cases} " data-equation-content=" \displaystyle \begin{cases}
- 8 x + 6 y - 9 z = 84 \\
9 x + 6 y + z = 2 \\
- 2 x - 5 y - 9 z = -51 \\
\end{cases} " /> </p> </p><p> <p>The Solution is <img class="equation_image" title=" \displaystyle (-6, 9, 2) " src="/equation_images/%20%5Cdisplaystyle%20%28-6%2C%209%2C%202%29%20" alt="LaTeX: \displaystyle (-6, 9, 2) " data-equation-content=" \displaystyle (-6, 9, 2) " /> .</p> </p>