/*! 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} Q7. Solve each system of equations b... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q7. (page 69)

Solve each system of equations by the substitution method.

8x+3y=26

2x=y鈥�4

Short Answer

Expert verified

The solution of given system of equations is x = 1, y = 6.

Step by step solution

01

Step 1. Substitute value of one variable from one equation to another.

Add 4 on both the sides of the 2x=y-4and simplify.

2x+4=y鈥�4+4

2x+4=y

Substitute 2x+4for y into 8x+3y=26and simplify.

8x+3(2x+4)=26

8x+6x+12=26

14x+12=26

02

Step 2. Solve for one variable.

Subtract 12 from both the sides of the equation obtained in step 2 and simplify.

14x+12鈥�12=26鈥�12

14x=14

Divide each side of the equation obtained in step 3 by 14 to find the value of x.

14x14=1414

x=1

03

Step 3. Solve for another variable.

Substitute 1 for into 2x=y-4, to find the value of y.

2脳1=y鈭�4

2=y鈭�4

y=6

Therefore, the solution of given system of equations is x = 1, y = 6.

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

Mention what can be deduced from the given information.

Given: AC炉bisects DB炉

DB炉bisects AC炉

CE=BE

State the hypothesis and the conclusion of each conditional.

I鈥檒l try if you will.

Write a definition of congruent angles as a biconditional.

State the hypothesis and the conclusion of each conditional.

I can鈥檛 sleep if I鈥檓 not tired.

State the hypothesis and the conclusion of each conditional.

only if
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Pure Maths

Read Explanation

Statistics

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

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.