# How do you solve and check your solutions to 5.6=1.1p+1.2?

Jan 31, 2017

See the entire simplification and verification process below:

#### Explanation:

First, subtract $\textcolor{red}{1.2}$ from both sides of the equation to isolate the $p$ term while keeping the equation balanced:

$5.6 - \textcolor{red}{1.2} = 1.1 p + 1.2 - \textcolor{red}{1.2}$

$4.4 = 1.1 p + 0$

$4.4 = 1.1 p$

Now, divide each side of the equation by $\textcolor{red}{1.1}$ to solve for $p$ while keeping the equation balanced:

$\frac{4.4}{\textcolor{red}{1.1}} = \frac{1.1 p}{\textcolor{red}{1.1}}$

$4 = \frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{1.1}}} p}{\cancel{\textcolor{red}{1.1}}}$

$4 = p$

$p = 4$

To verify this solution substitute $4$ for $p$ in the original equation and calculate the right side of the equation and ensure it equals $5.6$:

$5.6 = \left(1.1 \times 4\right) + 1.2$

$5.6 = 4.4 + 1.2$

$5.6 = 5.6$

Because both sides of the equation are equal $p = 4$ is a valid solution for this problem