Answered

Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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 hope our answers were useful. Return anytime for more information and answers to any other questions you have. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for visiting Westonci.ca. Stay informed by coming back for more detailed answers.