/*! 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} Q13 Solve the equation. Check your s... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 3: Q13 (page 133)

Solve the equation. Check your solution.

-11y+32=104-5y

Short Answer

Expert verified

The solution for the equation -11y+32=104-5y is y=-12.

Step by step solution

01

– Separate the variable and constants

Write the original equation and separate the variable and constants.

鈭�11y+32=104鈭�5y鈭�11y+5y+32=104鈭�5y+5yadd5ytobothsides鈭�6y+32=104simplify鈭�6y+32鈭�32=104鈭�32subtract32frombothsides鈭�6y=72simplify

02

– Solve for y

Now, divide both sides of the equation by -6.

鈭�6y鈭�6=72鈭�6y=鈭�12

Therefore, the solution of the equation is y=-12.

03

– Check the solution 

To check the solution, write the original equation and substitute the value of y.

-11y+32=104-5y

Now, substitute y=-12 and check the result.

鈭�11鈭�12+32=104鈭�5鈭�12132+32=104+60164=164

As the left-hand side is equal to right hand side, this signifies that the solution is correct.

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

Write the verbal sentence as an equation. Then solve the equation.

Four minus 7 times a number is equal to 12 minus 3 times the number.

Duathlons A duathlon is an event that consists of running and biking. While training for a duathlon, you run and bike a total of 23 kilometers in 1.25 hours. You run at an average speed of 10 kilometers in 1.25 hours. You run at an average speed of 10 kilometers per hour and bike at an average speed of 24 kilometers per hour. Write and solve an equation to find the time you spend running and the time you spend biking.

Geometry Find the value of x for the given triangle, rectangle or square.

Perimeter = 22 units

Solve the inequality. Graph and check your solution.

x+4<3

Solve the equation. Check your solution.-5g-(8-g)=12
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Pure Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Geometry

Read Explanation

Applied Mathematics

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.