Solve for a
a=-\frac{r}{7}+b
Solve for b
b=\frac{r}{7}+a
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7b-7a=r
Use the distributive property to multiply 7 by b-a.
-7a=r-7b
Subtract 7b from both sides.
\frac{-7a}{-7}=\frac{r-7b}{-7}
Divide both sides by -7.
a=\frac{r-7b}{-7}
Dividing by -7 undoes the multiplication by -7.
a=-\frac{r}{7}+b
Divide r-7b by -7.
7b-7a=r
Use the distributive property to multiply 7 by b-a.
7b=r+7a
Add 7a to both sides.
\frac{7b}{7}=\frac{r+7a}{7}
Divide both sides by 7.
b=\frac{r+7a}{7}
Dividing by 7 undoes the multiplication by 7.
b=\frac{r}{7}+a
Divide r+7a by 7.
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