Solve for a
a=\frac{66}{5}-3b
Solve for b
b=-\frac{a}{3}+\frac{22}{5}
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5a+15b=66
Swap sides so that all variable terms are on the left hand side.
5a=66-15b
Subtract 15b from both sides.
\frac{5a}{5}=\frac{66-15b}{5}
Divide both sides by 5.
a=\frac{66-15b}{5}
Dividing by 5 undoes the multiplication by 5.
a=\frac{66}{5}-3b
Divide 66-15b by 5.
5a+15b=66
Swap sides so that all variable terms are on the left hand side.
15b=66-5a
Subtract 5a from both sides.
\frac{15b}{15}=\frac{66-5a}{15}
Divide both sides by 15.
b=\frac{66-5a}{15}
Dividing by 15 undoes the multiplication by 15.
b=-\frac{a}{3}+\frac{22}{5}
Divide 66-5a by 15.
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