Answer
$$x=3$$ $$y = -2$$
Work Step by Step
equation 1 $$x + 3y = -3$$ equation 2 $$2x + y = 4$$
Using equation 1, subtract $3y$ from both sides:
$$x + 3y = -3$$ $$x + 3y -3y = -3-3y$$ $$x = -3-3y$$
Substitute this new equation 1 to equation 2:
$$2x + y = 4$$ $$2(-3-3y) + y = 4$$ $$-6-6y + y = 4$$ $$-6-5y= 4$$
Add $6$ to both sides:
$$-6-5y = 4$$ $$-6+6-5y = 4+6$$ $$-5y = 10$$
Divide both sides by $-5$
$$\frac{-5y}{-5} = \frac{10}{-5}$$ $$y = -2$$
Substitute the value of $y$ to either equation 1 or equation 2:
$$x+3y=-3$$ $$x+3(-2)=-3$$ $$x-6=-3$$ Add $6$ to both sides:
$$x-6+6=-3+6$$ $$x=3$$
