Solve for a
a=\frac{b-1}{2}
Solve for b
b=2a+1
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4a-2b=-2
Swap sides so that all variable terms are on the left hand side.
4a=-2+2b
Add 2b to both sides.
4a=2b-2
The equation is in standard form.
\frac{4a}{4}=\frac{2b-2}{4}
Divide both sides by 4.
a=\frac{2b-2}{4}
Dividing by 4 undoes the multiplication by 4.
a=\frac{b-1}{2}
Divide -2+2b by 4.
4a-2b=-2
Swap sides so that all variable terms are on the left hand side.
-2b=-2-4a
Subtract 4a from both sides.
-2b=-4a-2
The equation is in standard form.
\frac{-2b}{-2}=\frac{-4a-2}{-2}
Divide both sides by -2.
b=\frac{-4a-2}{-2}
Dividing by -2 undoes the multiplication by -2.
b=2a+1
Divide -2-4a by -2.
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Limits
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