Constructing Linear Equations
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Tom has $9 less than Jerry. If together they have $41, find the amount that Jerry has.
\begin{align}
&\text{Let Jerry have } \$ x.\\
&\therefore \text{Tom has } \$ (x-9).\\
&\begin{aligned}
x+x-9&=41\\
2x-9&=41\\
2x-9\textcolor{red}{+9}&=41\textcolor{red}{+9}\\
2x&=50\\
\frac{2x}{\textcolor{red}{2}}&=\frac{50}{\textcolor{red}{2}}\\
x&=25
\end{aligned}\\
&\text{Jerry has } \$ 25.
\end{align}
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