# How do you solve the equation 9=1+m/7?

Jun 27, 2017

See a solution process below:

#### Explanation:

Step 1) Subtract $\textcolor{red}{1}$ from each side of the equation to isolate the $m$ term while keeping the equation balanced:

$- \textcolor{red}{1} + 9 = - \textcolor{red}{1} + 1 + \frac{m}{7}$

$8 = 0 + \frac{m}{7}$

$8 = \frac{m}{7}$

Step 2) Multiply each side of the equation by $\textcolor{red}{7}$ to solve for $m$ while keeping the equation balanced:

$\textcolor{red}{7} \times 8 = \textcolor{red}{7} \times \frac{m}{7}$

$56 = \cancel{\textcolor{red}{7}} \times \frac{m}{\textcolor{red}{\cancel{\textcolor{b l a c k}{7}}}}$

$56 = m$

$m = 56$

56

#### Explanation:

$9 = 1 + \frac{m}{7}$

$9 - 1 = \frac{m}{7}$

$8 = \frac{m}{7}$

$8 \cdot 7 = m$

$m = 56$