Solve for a
a=-\frac{3b}{2}+\frac{5}{6}
Solve for b
b=-\frac{2a}{3}+\frac{5}{9}
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12a+18b=8+2
Add 2 and 6 to get 8.
12a+18b=10
Add 8 and 2 to get 10.
12a=10-18b
Subtract 18b from both sides.
\frac{12a}{12}=\frac{10-18b}{12}
Divide both sides by 12.
a=\frac{10-18b}{12}
Dividing by 12 undoes the multiplication by 12.
a=-\frac{3b}{2}+\frac{5}{6}
Divide 10-18b by 12.
12a+18b=8+2
Add 2 and 6 to get 8.
12a+18b=10
Add 8 and 2 to get 10.
18b=10-12a
Subtract 12a from both sides.
\frac{18b}{18}=\frac{10-12a}{18}
Divide both sides by 18.
b=\frac{10-12a}{18}
Dividing by 18 undoes the multiplication by 18.
b=-\frac{2a}{3}+\frac{5}{9}
Divide 10-12a by 18.
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