Solve for x
x=-2y-4
y\neq -2
Solve for y
y=-\frac{x}{2}-2
x\neq 0
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2\left(y+2\right)=-x
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2x, the least common multiple of x,2.
2y+4=-x
Use the distributive property to multiply 2 by y+2.
-x=2y+4
Swap sides so that all variable terms are on the left hand side.
\frac{-x}{-1}=\frac{2y+4}{-1}
Divide both sides by -1.
x=\frac{2y+4}{-1}
Dividing by -1 undoes the multiplication by -1.
x=-2y-4
Divide 4+2y by -1.
x=-2y-4\text{, }x\neq 0
Variable x cannot be equal to 0.
2\left(y+2\right)=-x
Multiply both sides of the equation by 2x, the least common multiple of x,2.
2y+4=-x
Use the distributive property to multiply 2 by y+2.
2y=-x-4
Subtract 4 from both sides.
\frac{2y}{2}=\frac{-x-4}{2}
Divide both sides by 2.
y=\frac{-x-4}{2}
Dividing by 2 undoes the multiplication by 2.
y=-\frac{x}{2}-2
Divide -x-4 by 2.
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