Math Help for Section 3.1, Page 107

Example
7: Tip
You can calculate the number of paychecks as follows.

    $\eqalign{{\text{Number of paychecks}}
=&
\left( {{\text{Paychecks per month}}} \right)\left( {{\text{Number
of months}}} \right)  \cr=& \left( 2 \right)\left(
{12}
\right)  \cr =& 24 \cr} $

Example
7: Check

    $\eqalign{ 40,830 =& 24x +
750&{\small\color{red}\quad\quad\text{Write original
equation.}}  \cr 40,830 \overset{?}{=}&
24\left( {1670}
\right) + 750&{\small\color{red}\quad\quad\text{Substitute
1670 for }x.}  \cr 40,830
\overset{?}{=}& 40,080 +
750&{\small\color{red}\quad\quad\text{Multiply.}}  \cr
40,830
=& 40,830&{\small\color{red}\quad\quad\text{Solution
checks. }\checkmark} \cr} $

Note that each side of the equation represents a dollar amount.

Study
Tip
Gross pay
means pay before any deductions or taxes.