Solve for x
x=\frac{y}{2}+\frac{7}{4}
Solve for y
y=2x-\frac{7}{2}
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4x=30+2y-23
Subtract 23 from both sides.
4x=7+2y
Subtract 23 from 30 to get 7.
4x=2y+7
The equation is in standard form.
\frac{4x}{4}=\frac{2y+7}{4}
Divide both sides by 4.
x=\frac{2y+7}{4}
Dividing by 4 undoes the multiplication by 4.
x=\frac{y}{2}+\frac{7}{4}
Divide 7+2y by 4.
30+2y=4x+23
Swap sides so that all variable terms are on the left hand side.
2y=4x+23-30
Subtract 30 from both sides.
2y=4x-7
Subtract 30 from 23 to get -7.
\frac{2y}{2}=\frac{4x-7}{2}
Divide both sides by 2.
y=\frac{4x-7}{2}
Dividing by 2 undoes the multiplication by 2.
y=2x-\frac{7}{2}
Divide 4x-7 by 2.
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