/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 58 In the following exercises, solv... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q. 58 (page 112)

In the following exercises, solve each equation with fraction coefficients.

13(x+5)=56

Short Answer

Expert verified

The value ofx=-52

Step by step solution

01

Step 1. Given Information 

In the given question we have to solve equation with fraction coefficients.

13(x+5)=56

02

Step 2. The given equation is 13(x+5)=56

Now we solve the given equation for the value ofx

03

Step 3. We want to clear the fractions by multiplying both sides of the equation by the LCD of all the fractions in the equation. 

Finding the LCD of all fractions in the equation.

The numbers are3,6

So the LCD is6

04

Step 4. Multiply both sides of the equation by 6.

13脳6(x+5)=56脳62(x+5)=5

Distribute.

2x+2脳5=52x+10=5

05

Step 5. Simplify—notice, no more fractions. 

Subtract 10 on both side

2x+10-10=5-102x=-522x=-52x=-52

06

Step 6. Now checking the value. 

Putting x=-52in the given equation

13(-52+5)=5613-52+5路22=5613-52+102=5613-5+102=5613路52=5656=56

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Solve7=12x+34x-23x

Gerry worked Sudoku puzzles and crossword puzzles this week. The number of Sudoku puzzles he completed is eight more than twice the number of crossword puzzles. He completed 22Sudoku puzzles. How many crossword puzzles did he do ?

If an equation has fractions only on one side, why do you have to multiply both sides of the equation by the LCD

The sum of two numbers is negative twenty-three. One number is seven less than the other. Find the numbers.

In the following exercises, use the Pythagorean theorem to find the length of the leg. Round to the nearest tenth if necessary.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Applied Mathematics

Read Explanation

Probability and Statistics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.