Solve for a
a=-\frac{6}{b}
b\neq 0
Solve for b
b=-\frac{6}{a}
a\neq 0
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ab=-6
Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 18ab, the least common multiple of 18,3ab.
ba=-6
The equation is in standard form.
\frac{ba}{b}=-\frac{6}{b}
Divide both sides by b.
a=-\frac{6}{b}
Dividing by b undoes the multiplication by b.
a=-\frac{6}{b}\text{, }a\neq 0
Variable a cannot be equal to 0.
ab=-6
Variable b cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 18ab, the least common multiple of 18,3ab.
\frac{ab}{a}=-\frac{6}{a}
Divide both sides by a.
b=-\frac{6}{a}
Dividing by a undoes the multiplication by a.
b=-\frac{6}{a}\text{, }b\neq 0
Variable b cannot be equal to 0.
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