Question

Write the augmented matrix for the following system of equations.
0 = 1 + 8z + 6x – 2y
0= -y +3 + 5x
4y = 2 + 1 - 8x

Answer 1

Given:

$0=1+8z+6x-2y$$0=-y+3+5x$$4y=z+1-8x$

Rewrite the given equations of the form.

$ax+by+cz=d$

The given equations can be rewritten as follows.

$6x-2y+8z=-1$

$5x-y+0z=-3$

$-8x-4y+z=-1$

The augmented matrix is

$\begin{bmatrix}{6} & {-2} & {8} & {-1} \\ {5} & {-1} & {0} & {-3} \\ {-8} & {-4} & {1} & {-1} \\ {} & {} & {} & {}\end{bmatrix}$