Solve for x
x=-\frac{4y}{3}-2
Solve for y
y=-\frac{3x}{4}-\frac{3}{2}
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y+3y=-3\left(x+2\right)
The opposite of -3y is 3y.
4y=-3\left(x+2\right)
Combine y and 3y to get 4y.
4y=-3x-6
Use the distributive property to multiply -3 by x+2.
-3x-6=4y
Swap sides so that all variable terms are on the left hand side.
-3x=4y+6
Add 6 to both sides.
\frac{-3x}{-3}=\frac{4y+6}{-3}
Divide both sides by -3.
x=\frac{4y+6}{-3}
Dividing by -3 undoes the multiplication by -3.
x=-\frac{4y}{3}-2
Divide 4y+6 by -3.
y+3y=-3\left(x+2\right)
The opposite of -3y is 3y.
4y=-3\left(x+2\right)
Combine y and 3y to get 4y.
4y=-3x-6
Use the distributive property to multiply -3 by x+2.
\frac{4y}{4}=\frac{-3x-6}{4}
Divide both sides by 4.
y=\frac{-3x-6}{4}
Dividing by 4 undoes the multiplication by 4.
y=-\frac{3x}{4}-\frac{3}{2}
Divide -3x-6 by 4.
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