ANSWER:
[tex]\begin{gathered} x-8z=-3 \\ y+8z=-3 \end{gathered}[/tex]
The system has no solution
STEP-BY-STEP EXPLANATION:
We must convert the matrix into a system of linear equations.
Each vertical represents the letters x, y and z, the first the x, the second y and the third the z. The fourth value is the value of the independent term that would be equal to the other expression, just like this:
[tex]\begin{gathered} 1x+0y-8z=-3 \\ 0x+1y+8z=-3 \\ 0x+0y+0z=0 \end{gathered}[/tex]
We operate and the system will finally be like this
[tex]\begin{gathered} x-8z=-3 \\ y+8z=-3 \end{gathered}[/tex]
The system is left with 3 unknowns (x, y and z) but only two equations, therefore, the system has no solution, since there are more unknowns than equations.
