MathAlgebraLinear algebraSystems of linear equations

Solving systems of linear equations by substitution method

Making a substitution

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Given the following SLE

$\begin{cases} x + 2y - z = 1\\ 2x - 3y + z = 1\\ -x + y +2z = 4 \end{cases}$ solve the first equation for $x$ in terms of $y$ and $z$ , and substitute the obtained expression to the second and third equations. Which of the following systems will you get?

Select one option from the list

\begin{cases} - 7y + 3z = - 1\\3y + z = 5\end{cases}

\begin{cases} - 7y - z = - 1\\3y + 3z = 5\end{cases}

\begin{cases}7y + 3z = - 1\\3y + z = -5\end{cases}

\begin{cases}- 7y + 3z = 1\\3y + 3z = 5\end{cases}

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