/*! 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. 362 In the following exercise, solve... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

In the following exercise, solve each equation with decimal coefficients.

0.9x-1.25=0.75x+1.75

Short Answer

Expert verified

Thesolutionforthegivenequationisx=20

Step by step solution

01

Step 1. Given information

The given equation is0.9x-1.25=0.75x+1.75

We have to sovle the given equation.

02

Step 2. Explanation

Solve:0.9x-1.25=0.75x+1.75⇒100×(0.9x-1.25)=100×(0.75x+1.75)(MultiplyebyLCD,100)⇒100×(0.9x)-100×(1.25)=100×(0.75x)+100×(1.75)(Distribute)⇒90x-125=75x+175(Multiply)⇒90x-90x-125=75x-90x+175(Subtract90xfrombothsides)⇒-125=15x+175(Simplify)⇒-125−175=15x+175−175(Subtract175frombothsides)⇒−300=15x(Simplify)⇒−30015=1515x(Divideby15tobothsides)⇒20=x(Simplify)Thesolutionforthegivenequationisx=20

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

Study anywhere. Anytime. Across all devices.