Solve for a
a=-\frac{b}{3}
Solve for b
b=-3a
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3a+b=0
Combine 2a and a to get 3a.
3a=-b
Subtract b from both sides. Anything subtracted from zero gives its negation.
\frac{3a}{3}=-\frac{b}{3}
Divide both sides by 3.
a=-\frac{b}{3}
Dividing by 3 undoes the multiplication by 3.
3a+b=0
Combine 2a and a to get 3a.
b=-3a
Subtract 3a from both sides. Anything subtracted from zero gives its negation.
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