Question

Y - x = 22x - 3y = 32solve for x and y

Answer 1

$\left\{\begin{array}{ccc}y-x=2&|\cdot2\\2x-3y=32\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}2y-2x=4\\2x-3y=32\end{array}\right}\qquad|\text{add both sides of the equations}\\.\qquad-y=36\to y=-36\\\\\text{put the value of y to the first equation}\\\\-36-x=2\qquad|+36\\\\-x=38\to x=-38\\\\Answer:\ \boxed{x=-38,\ y=-36}$