Finding solution for a linear system(see below)

Question

Consider the following linear system:

$ -2y + 3x=3$

$ 3x + 6y + 3z=-2$

$6x + 6y+3z=4$

So I've tried solving this using Jordan-Gauss emilimination, scaling it down to row echelon form then to reduced row echelon form but am doing something wrong.

All help is greatly appriciated!

Answer 1

The second and the third equations give $x=2$

and from the first we obtain $y=1.5$ and the rest for you.