91Ó°ÊÓ

Given system of linear equations is :-

$\left(a\right)\left\{\begin{array}{l}11x=-9y-5\\ 7x+5y=-1\end{array}\right.$

The first equation is not in standard form.

We rewrite the first equation in standard form.

$11x=-9y-5$

$11x+9y=-5$

We replace the first equation with its standard form.

In the augmented matrix, the first equation gives us the first row and the second equation gives us the second row.

The vertical line replaces the equal signs.

$\left\{\begin{array}{l}11x+9y=-5\\ 7x+5y=-1\end{array}\right.\left[\begin{array}{rrr}11& 9& -5\\ 7& 5& -1\end{array}\right]$

Given system of linear equations is :-

$\left(b\right)\left\{\begin{array}{l}5x-3y+2z=−5\\ 2x-y-z=4\\ 3x-2y+2z=-7\end{array}\right.$

All three equations are in standard form.

$\left\{\begin{array}{l}5x-3y+2z=−5\\ 2x-y-z=4\\ 3x-2y+2z=-7\end{array}\right.$

In the augmented matrix the first equation gives us the first row, the second equation gives us the second row, and the third equation gives us the third row.

The vertical line replaces the equal signs.

$\left\{\begin{array}{l}5x-3y+2z=−5\\ 2x-y-z=4\\ 3x-2y+2z=-7\end{array}\right.\left[\begin{array}{rrrr}5& -3& 2& -5\\ 2& -1& -1& 4\\ 3& -2& 2& -7\end{array}\right]$