## Algebra 1: Common Core (15th Edition)

$m=21/9$
We start by creating a common denominator for all of the fractions: $\frac{10}{15}+\frac{9m}{15}=\frac{31}{15}$ We now can combine the denominators on the same side of the equation: $\frac{10+9m}{15}=\frac{31}{15}$ We then multiply both sides by 15 to find: $10+9m=31$ We subtract 10 and divide by 9 to obtain that $m=21/9$. We plug 21/9 in for m and confirm that our answer is, indeed, correct.