/*! 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 92. Solve the system of equation聽y=... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 5: Q 92. (page 611)

Solve the system of equationy=x-6y=-32x+6by substitution

Short Answer

Expert verified

The solution is4.8,-1.2.

Step by step solution

01

Step 1. Given information 

The given equations are:

y=x-6鈰�鈰�1

role="math" localid="1647790465247" y=-32x+6鈰�鈰�2

02

Step 2. Substitute value of y from equation 1 in equation 2

鈬�x-6=-32x+6

03

Step 3. Solve for x

鈬�x+32x=6+6

鈬�52x=12

鈬�5x=24

鈬�x=4.8

04

Step 4. Substitute value of x from step 3 in equation 1

鈬�y=4.8-6

鈬�y=-1.2

05

Step 5. Checking solution  

Now we have x=4.8andy=-1.2

Put these values in equation 1

鈬�-1.2=4.8-6

鈬�-1.2=-1.2

Also put these values in equation 2

鈬�-1.2=-324.8+6

鈬�-1.2=-1.2

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

In the following exercises, solve the following systems of equations by graphing.

x-y=32x-y=4

Solve the system of equations 3x+y=12,x=y-8by substitution and explain all your steps in words.

In the following exercises, translate to a system of equations and solve.

Wayne is hanging a string of lights 45 feet long around the three sides of his rectangular patio, which is adjacent to his house.The length of his patio, the side along the house, is five feet longer than twice its width. Find the length and width of the patio.

In the following exercises, solve the systems of equations by substitution.

y=3x6x-2y=0

In the following exercises, solve the following systems of equations by graphing.

x+y=6x-y=-8
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

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.