# How do you solve the equation 130=11k+9?

May 23, 2018

See a solution process below:

#### Explanation:

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

$130 - \textcolor{red}{9} = 11 k + 9 - \textcolor{red}{9}$

$121 = 11 k + 0$

$121 = 11 k$

Now, divide each side of the equation by $\textcolor{red}{11}$ to solve for $k$ while keeping the equation balanced:

$\frac{121}{\textcolor{red}{11}} = 11 \frac{k}{\textcolor{red}{11}}$

$11 = \textcolor{red}{\cancel{\textcolor{b l a c k}{11}}} \frac{k}{\cancel{\textcolor{red}{11}}}$

$11 = k$

$k = 11$

May 23, 2018

$k = 11$

#### Explanation:

Make $k$ the subject of the equation as explained below:

$130 = 11 k + 9$

Subtract $130$ both sides:

$130 - 130 = 11 k + 9 - 130$

$0 = 11 k + 9 - 130$

Subtract $11 k$ both sides:

$0 - 11 k = - 121$

$- 11 k = - 121$

$k = - \left(\frac{121}{-} 11\right)$

$k = 11$

$130 = 11 \left(11\right) + 9$
$130 = 121 + 9$