Solve for a
a=\frac{-2b-c}{13}
Solve for b
b=\frac{-13a-c}{2}
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13a+c=-2b
Subtract 2b from both sides. Anything subtracted from zero gives its negation.
13a=-2b-c
Subtract c from both sides.
\frac{13a}{13}=\frac{-2b-c}{13}
Divide both sides by 13.
a=\frac{-2b-c}{13}
Dividing by 13 undoes the multiplication by 13.
2b+c=-13a
Subtract 13a from both sides. Anything subtracted from zero gives its negation.
2b=-13a-c
Subtract c from both sides.
\frac{2b}{2}=\frac{-13a-c}{2}
Divide both sides by 2.
b=\frac{-13a-c}{2}
Dividing by 2 undoes the multiplication by 2.
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