# How do you solve and check your solutions to -3.2+z=-7.4?

May 13, 2017

See a solution process below:

#### Explanation:

To solve, add $\textcolor{red}{3.2}$ to each side of the equation to solve for $z$ while keeping the equation balanced:

$\textcolor{red}{3.2} - 3.2 + z = \textcolor{red}{3.2} - 7.4$

$0 + z = - 4.2$

$z = - 4.2$

To check the solution substitute $\textcolor{red}{- 4.2}$ for $\textcolor{red}{z}$ in the original equation and calculate the left side of the equation to ensure it equals $- 7.4$:

$- 3.2 + \textcolor{red}{z} = - 7.4$ becomes:

$- 3.2 + \textcolor{red}{- 4.2} = - 7.4$

$- 7.4 = - 7.4$

Because both sides of the equation are equal this is the correct solution.