Solve for a
a=\frac{b}{3}
Solve for b
b=3a
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0=-6a+2b\times 1
Multiply 6 and -1 to get -6.
0=-6a+2b
Multiply 2 and 1 to get 2.
-6a+2b=0
Swap sides so that all variable terms are on the left hand side.
-6a=-2b
Subtract 2b from both sides. Anything subtracted from zero gives its negation.
\frac{-6a}{-6}=-\frac{2b}{-6}
Divide both sides by -6.
a=-\frac{2b}{-6}
Dividing by -6 undoes the multiplication by -6.
a=\frac{b}{3}
Divide -2b by -6.
0=-6a+2b\times 1
Multiply 6 and -1 to get -6.
0=-6a+2b
Multiply 2 and 1 to get 2.
-6a+2b=0
Swap sides so that all variable terms are on the left hand side.
2b=6a
Add 6a to both sides. Anything plus zero gives itself.
\frac{2b}{2}=\frac{6a}{2}
Divide both sides by 2.
b=\frac{6a}{2}
Dividing by 2 undoes the multiplication by 2.
b=3a
Divide 6a by 2.
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