Solve for a
a=-\frac{b}{2}
b\neq 0
Solve for b
b=-2a
a\neq 0
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-b=2a
Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2a.
2a=-b
Swap sides so that all variable terms are on the left hand side.
\frac{2a}{2}=-\frac{b}{2}
Divide both sides by 2.
a=-\frac{b}{2}
Dividing by 2 undoes the multiplication by 2.
a=-\frac{b}{2}\text{, }a\neq 0
Variable a cannot be equal to 0.
-b=2a
Multiply both sides of the equation by 2a.
\frac{-b}{-1}=\frac{2a}{-1}
Divide both sides by -1.
b=\frac{2a}{-1}
Dividing by -1 undoes the multiplication by -1.
b=-2a
Divide 2a by -1.
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