Solve for a
a=3b+\frac{5}{2}
Solve for b
b=\frac{a}{3}-\frac{5}{6}
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2a-5=6b
Swap sides so that all variable terms are on the left hand side.
2a=6b+5
Add 5 to both sides.
\frac{2a}{2}=\frac{6b+5}{2}
Divide both sides by 2.
a=\frac{6b+5}{2}
Dividing by 2 undoes the multiplication by 2.
a=3b+\frac{5}{2}
Divide 6b+5 by 2.
6b=2a-5
The equation is in standard form.
\frac{6b}{6}=\frac{2a-5}{6}
Divide both sides by 6.
b=\frac{2a-5}{6}
Dividing by 6 undoes the multiplication by 6.
b=\frac{a}{3}-\frac{5}{6}
Divide 2a-5 by 6.
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