## Algebra: A Combined Approach (4th Edition)

$$x=-2$$ $$y=4$$
equation 1 $$x - 5y = -22$$ equation 2 $$4x + 3y = 4$$ Multiply equation 1 by $-4$: $$[x - 5y = -22] \cdot -4$$ $$-4x +20y = 88$$ Add this equation to equation 2: $$4x + 3y = 4$$ $$-4x +20y = 88$$ $$23y = 93$$ $$y=4$$ Substitute this $y$ value to equation 1: $$x - 5y = -22$$ $$x - 5(4)= -22$$ $$x - 20 = -22$$ Add $20$ to both sides: $$x - 20 +20= -22+20$$ $$x=-2$$