Solve for a
a=-\frac{10}{b}
b\neq 0
Solve for b
b=-\frac{10}{a}
a\neq 0
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5ab+20-3ab=0
Subtract 3ab from both sides.
2ab+20=0
Combine 5ab and -3ab to get 2ab.
2ab=-20
Subtract 20 from both sides. Anything subtracted from zero gives its negation.
2ba=-20
The equation is in standard form.
\frac{2ba}{2b}=-\frac{20}{2b}
Divide both sides by 2b.
a=-\frac{20}{2b}
Dividing by 2b undoes the multiplication by 2b.
a=-\frac{10}{b}
Divide -20 by 2b.
5ab+20-3ab=0
Subtract 3ab from both sides.
2ab+20=0
Combine 5ab and -3ab to get 2ab.
2ab=-20
Subtract 20 from both sides. Anything subtracted from zero gives its negation.
\frac{2ab}{2a}=-\frac{20}{2a}
Divide both sides by 2a.
b=-\frac{20}{2a}
Dividing by 2a undoes the multiplication by 2a.
b=-\frac{10}{a}
Divide -20 by 2a.
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