# How do you solve  s + 9/10 = 1/2?

Feb 19, 2017

See the entire solution process below:

#### Explanation:

First, multiply each side of the equation by $\textcolor{red}{10}$ to eliminate the fractions while keeping the equation balanced:

$\textcolor{red}{10} \left(s + \frac{9}{10}\right) = \textcolor{red}{10} \times \frac{1}{2}$

$\left(\textcolor{red}{10} \times s\right) + \left(\textcolor{red}{10} \times \frac{9}{10}\right) = \cancel{\textcolor{red}{10}} 5 \times \frac{1}{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}}}$

$10 s + \left(\cancel{\textcolor{red}{10}} \times \frac{9}{\textcolor{red}{\cancel{\textcolor{b l a c k}{10}}}}\right) = 5$

$10 s + 9 = 5$

Next, subtract $\textcolor{red}{9}$ from each side of the equation to isolate the $s$ term while keeping the equation balanced:

$10 s + 9 - \textcolor{red}{9} = 5 - \textcolor{red}{9}$

$10 s + 0 = - 4$

$10 s = - 4$

Now, divide each side of the equation by $\textcolor{red}{10}$ to solve for $s$ while keeping the equation balanced:

$\frac{10 s}{\textcolor{red}{10}} = - \frac{4}{\textcolor{red}{10}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{10}}} s}{\cancel{\textcolor{red}{10}}} = - \frac{2}{5}$

$s = - \frac{2}{5}$