Answer
$$x=16$$ $$y=-4$$
Work Step by Step
Equation 1: $-x - 15y = 44$
Equation 2: $2x + 3y = 20$
Multiply equation 1 by $2$:
$$[-x - 15y = 44]\cdot 2$$ $$-2x - 30y = 88$$
Add this equation to equation 2:
$$-2x - 30y = 88$$ $$+$$ $$2x + 3y = 20$$ $$=$$ $$-27y=108$$
Divide both sides by $-27$:
$$\frac{-27y}{-27}=\frac{108}{-27}$$ $$y=-4$$
Substitute this value of $y$ to equation 1:
$$-x - 15y = 44$$ $$-x - 15(-4) = 44$$ $$-x +60 = 44$$
Subtract $60$ from both sides:
$$-x +60 -60= 44-60$$ $$-x=-16$$ $$x=16$$
Use equation 2 to check:
$$2x + 3y = 20$$ $$2(16) + 3(-4) = 20$$ $$32-12=20$$ $$20=20$$