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Q20.

Expert-verified
Found in: Page 247

### Geometry

Book edition Student Edition
Author(s) Ray C. Jurgensen, Richard G. Brown, John W. Jurgensen
Pages 227 pages
ISBN 9780395977279

# Find the value of x.$\frac{3x+5}{3}=\frac{18x+5}{7}$

The value of x is $\frac{20}{33}$.

See the step by step solution

## Step 1. Given information.

The ratio here given is,

$\frac{3x+5}{3}=\frac{18x+5}{7}$

## Step 2. Concept and Formula Used.

The properties of proportion,

if $\frac{a}{b}=\frac{c}{d}$ then,$ad=bc$

The given ratio is$\frac{3x+5}{3}=\frac{18x+5}{7}$,

## Step 3. Use the property of proportion, if ab=cd then, ad=bc.

Then,

$\begin{array}{l}7\left(3x+5\right)=3\left(18x+5\right)\\ 21x+35=54x+15\text{}\left(\text{Using distributive property}\right)\\ 21x-54x=15-35\\ -33x=-20\end{array}$

## Step 4. Divide both sides by -33.

$\begin{array}{l}\frac{-33x}{-33}=\frac{-20}{-33}\\ x=\frac{20}{33}\end{array}$

Therefore, the value of x is$\frac{20}{33}$ .