$$-3y+4x=13; -5y-6x=-67; x=; y=$$
$z=7$
$$z=x$$ $$-5y-6x=-67$$ $$-3y+4x=13$$
$$x=z$$
$$-5y-6z=-67$$ $$-3y+4z=13$$
$$y=-\frac{6}{5}z+\frac{67}{5}$$ $$z=\frac{3}{4}y+\frac{13}{4}$$
$$z=\frac{3}{4}\left(-\frac{6}{5}z+\frac{67}{5}\right)+\frac{13}{4}$$
$$z=7$$
$$y=-\frac{6}{5}\times 7+\frac{67}{5}$$
$$y=5$$
$$x=7$$
$$y=5$$ $$x=7$$ $$z=7$$
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