Answer
$$x=3$$ $$y=7$$
Work Step by Step
equation 1 $$2x - 3y = -15$$ equation 2 $$x + 4y = 31$$
Multiply equation 2 by $-2$:
$$[x + 4y = 31]\cdot -2$$ $$-2x-8y=-62$$ Add this equation to equation 1:
$$2x - 3y = -15$$ $$-2x-8y=-62$$ $$-11y=-77$$ $$y=7$$
Substitute the value of $y$ to equation 1:
$$2x - 3y = -15$$ $$2x - 3(7) = -15$$ $$2x - 21 = -15$$ Add $21$ to both sides: $$2x - 21 +21= -15+21$$ $$2x= 6$$ Divide both sides by $2$
$$x=3$$
