Answered

Looking for trustworthy answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Drag each tile to the correct location on the table. Each tile can be used more than once, but not all tiles will be used.

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]

Sagot :

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.
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.