Solve for x
x=y+3
Solve for y
y=x-3
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x^{2}+4y=2\left(2x-6\right)+x^{2}
Combine 3x and -x to get 2x.
x^{2}+4y=4x-12+x^{2}
Use the distributive property to multiply 2 by 2x-6.
x^{2}+4y-4x=-12+x^{2}
Subtract 4x from both sides.
x^{2}+4y-4x-x^{2}=-12
Subtract x^{2} from both sides.
4y-4x=-12
Combine x^{2} and -x^{2} to get 0.
-4x=-12-4y
Subtract 4y from both sides.
-4x=-4y-12
The equation is in standard form.
\frac{-4x}{-4}=\frac{-4y-12}{-4}
Divide both sides by -4.
x=\frac{-4y-12}{-4}
Dividing by -4 undoes the multiplication by -4.
x=y+3
Divide -12-4y by -4.
x^{2}+4y=2\left(2x-6\right)+x^{2}
Combine 3x and -x to get 2x.
x^{2}+4y=4x-12+x^{2}
Use the distributive property to multiply 2 by 2x-6.
4y=4x-12+x^{2}-x^{2}
Subtract x^{2} from both sides.
4y=4x-12
Combine x^{2} and -x^{2} to get 0.
\frac{4y}{4}=\frac{4x-12}{4}
Divide both sides by 4.
y=\frac{4x-12}{4}
Dividing by 4 undoes the multiplication by 4.
y=x-3
Divide -12+4x by 4.
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