Answer
$(2,-3)$
Work Step by Step
We are given the following system of equations.
$x+2y=-4$
$3x-y=9$
First, we can solve for x in the first equation by subtracting 2y from both sides.
$x=-2y-4$
Next, we can insert this into the second equation and solve for y.
$3(-2y-4)-y=9$
Use the distributive property to multiply out the left side.
$-6y-12-y=-7y-12=9$
Add 12 to both sides.
$-7y=21$
Divide both sides by -7.
$y=-3$
Plug this back into the first equation.
$x+2(-3)=x-6=-4$
Add 6 to both sides.
$x=2$
