Generate Math Exams and Quizzes in LaTeX and pdf formats

Solve the linear system \(\displaystyle \begin{cases} x - 8 y - 5 z = 10 \\ - 7 x + 5 y - z = -28 \\ 2 x + y + z = 10 \\ \end{cases}\)

The Solution is \(\displaystyle (6, 2, -4)\).

Download \(\LaTeX\)

\begin{question}Solve the linear system 
$\begin{cases}
	 x - 8 y - 5 z = 10 \\ 
	 - 7 x + 5 y - z = -28 \\ 
	 2 x + y + z = 10 \\ 
\end{cases}$
    \soln{9cm}{The Solution is $(6, 2, -4)$.}

\end{question}

Download Question and Solution Environment\(\LaTeX\)

\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}

Solve the linear system <img class="equation_image" title=" \displaystyle \begin{cases} x - 8 y - 5 z = 10 \\ - 7 x + 5 y - z = -28 \\ 2 x + y + z = 10 \\ \end{cases} " src="/equation_images/%20%5Cdisplaystyle%20%5Cbegin%7Bcases%7D%0A%09%20x%20-%208%20y%20-%205%20z%20%3D%2010%20%5C%5C%20%0A%09%20-%207%20x%20%2B%205%20y%20-%20z%20%3D%20-28%20%5C%5C%20%0A%09%202%20x%20%2B%20y%20%2B%20z%20%3D%2010%20%5C%5C%20%0A%5Cend%7Bcases%7D%20" alt="LaTeX: \displaystyle \begin{cases} x - 8 y - 5 z = 10 \\ - 7 x + 5 y - z = -28 \\ 2 x + y + z = 10 \\ \end{cases} " data-equation-content=" \displaystyle \begin{cases} x - 8 y - 5 z = 10 \\ - 7 x + 5 y - z = -28 \\ 2 x + y + z = 10 \\ \end{cases} " />

The Solution is <img class="equation_image" title=" \displaystyle (6, 2, -4) " src="/equation_images/%20%5Cdisplaystyle%20%286%2C%202%2C%20-4%29%20" alt="LaTeX: \displaystyle (6, 2, -4) " data-equation-content=" \displaystyle (6, 2, -4) " /> .