/*! 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} Q38. Solve each equation. Check your ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

Log out

Learning Materials

Features

Discover

Chapter 10: Q38. (page 658)

Solve each equation. Check your solution.

5−4x−6=7

Short Answer

Expert verified

The solution of the given equation is x=−41.

Check:

Substitute -41for x in the given equation 5−4x−6=7.

5−4x−6=75−4−41−6?¯¯75+164−6?¯¯7169−6?¯¯713−6?¯¯77=7

Therefore,x=−41 is the solution of the given equation 5−4x−6=7.

Step by step solution

01

Step 1. Rewrite the given equation.

The given equation can be written as:

5−4x−6=75−4x=7+65−4x=13

02

Step 2. Solve the given equation.

The solution of the given equation is:

5−4x=135−4x2=132squaringbothsides5−4x=1695−169=4x−164=4x−1644=x−41=x

Therefore, the value of x is -41.

03

Step 3. Check the solution.

Substitute-41 for x in the given equation 5−4x−6=7.

5−4x−6=75−4−41−6?¯¯75+164−6?¯¯7169−6?¯¯713−6?¯¯77=7

Therefore,x=−41 is the solution of the given equation 5−4x−6=7.

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 91Ó°ÊÓ!

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

Find the coordinates of the midpoint of the segment with the given endpoints.

(−4,−8), (10,−6)

State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence.

The range of the functiony=xisy|>0

Graph each function. Compare to the parent graph. State the domain and range.

y=x−1

Find the missing length ifâ–³ABC~â–³XYZ.

Graph each function. Compare to the parent graph. State the domain and range.

y=x+2
See all solutions

Recommended explanations on Math Textbooks

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

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.