Solve for a
a=\frac{2}{55}+\frac{3}{11b}
b\neq 0
Solve for b
b=\frac{15}{55a-2}
a\neq \frac{2}{55}
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55ab=15+2b
Add 2b to both sides.
55ba=2b+15
The equation is in standard form.
\frac{55ba}{55b}=\frac{2b+15}{55b}
Divide both sides by 55b.
a=\frac{2b+15}{55b}
Dividing by 55b undoes the multiplication by 55b.
a=\frac{2}{55}+\frac{3}{11b}
Divide 15+2b by 55b.
\left(55a-2\right)b=15
Combine all terms containing b.
\frac{\left(55a-2\right)b}{55a-2}=\frac{15}{55a-2}
Divide both sides by 55a-2.
b=\frac{15}{55a-2}
Dividing by 55a-2 undoes the multiplication by 55a-2.
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