$$2y-3x=-27; 5y+3x=6; x=; y=$$
$z=7$
$$z=x$$ $$5y+3x=6$$ $$2y-3x=-27$$
$$x=z$$
$$5y+3z=6$$ $$2y-3z=-27$$
$$y=\frac{6}{5}-\frac{3}{5}z$$ $$z=\frac{2}{3}y+9$$
$$z=\frac{2}{3}\left(\frac{6}{5}-\frac{3}{5}z\right)+9$$
$$z=7$$
$$y=\frac{6}{5}-\frac{3}{5}\times 7$$
$$y=-3$$
$$x=7$$
$$y=-3$$ $$x=7$$ $$z=7$$
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