Solve for a
a=-\frac{c}{13}
Solve for c
c=-13a
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5a+c+8a=0
Add 8a to both sides.
13a+c=0
Combine 5a and 8a to get 13a.
13a=-c
Subtract c from both sides. Anything subtracted from zero gives its negation.
\frac{13a}{13}=-\frac{c}{13}
Divide both sides by 13.
a=-\frac{c}{13}
Dividing by 13 undoes the multiplication by 13.
c=-8a-5a
Subtract 5a from both sides.
c=-13a
Combine -8a and -5a to get -13a.
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