$$11x+4y=-46; 7x-4y=10; x=; y=$$
$z=-2$
$$z=x$$ $$7x-4y=10$$ $$11x+4y=-46$$
$$x=z$$
$$7z-4y=10$$ $$11z+4y=-46$$
$$y=\frac{7}{4}z-\frac{5}{2}$$ $$z=-\frac{46}{11}-\frac{4}{11}y$$
$$z=-\frac{46}{11}-\frac{4}{11}\left(\frac{7}{4}z-\frac{5}{2}\right)$$
$$z=-2$$
$$y=\frac{7}{4}\left(-2\right)-\frac{5}{2}$$
$$y=-6$$
$$x=-2$$
$$x=-2$$ $$y=-6$$ $$z=-2$$
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