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Choose the justification for each step in the solution to the given equation.

Given
Subtraction Property of Equality
Simplification
Multiplication Property of Equality

[tex]\[
\begin{tabular}{|r|l|}
\hline
Step & Justification \\
\hline
$\frac{17}{3}-\frac{3}{4} x=\frac{1}{2} x+5$ & Given \\
\hline
$\frac{17}{3}-\frac{3}{4} x-\frac{17}{3}=\frac{1}{2} x+5-\frac{17}{3}$ & Subtraction Property of Equality \\
\hline
$-\frac{3}{4} x-\frac{1}{2} x=\frac{1}{2} x-\frac{2}{3} x-\frac{2}{3}-\frac{1}{2} x$ & Simplification \\
\hline
$-\frac{5}{4} x=\frac{2}{3} x-\frac{4}{3}=-\frac{4}{3}$ & Simplification \\
\hline
$x=\frac{8}{15} x$ & Multiplication Property of Equality \\
\hline
\end{tabular}
\][/tex]



Answer :

GinnyAnswer
Sure, let's provide the correct justifications for each step in the solution:

\begin{tabular}{|r|l|}
\hline
Step & Justification \\
\hline
[tex]$\frac{17}{3} - \frac{3}{4} x = \frac{1}{2} x + 5$[/tex] & given \\
\hline
[tex]$\frac{17}{3} - \frac{3}{4} x - \frac{17}{3} = \frac{1}{2} x + 5 - \frac{17}{3}$[/tex] & subtraction property of equality \\
\hline
[tex]$-\frac{3}{4} x - \frac{1}{2} x = \frac{1}{2} x - \frac{2}{3} x - \frac{2}{3} - \frac{1}{2} x$[/tex] & simplification \\
\hline
[tex]$-\frac{5}{4} x = \frac{2}{3} x - \frac{4}{3} = -\frac{4}{3}$[/tex] & simplification \\
\hline
[tex]$x = \frac{8}{15} x$[/tex] & simplification \\
\hline
\end{tabular}

This breakdown aligns with the steps and justifications derived from reasoning about the equation.

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