/*! 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} Q3. Solve each system of equations b... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q3. (page 69)

Solve each system of equations by the substitution method.

x=8+3y2x-5y=8

Short Answer

Expert verified

The solution of given system of equations is x=鈭�16, y=鈭�8.

Step by step solution

01

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

Substitute8+3y for x into2x鈭�5y=8 and simplify.

28+3y鈭�5y=816+6y鈭�5y=816+y=8

02

Step 2. Solve for one variable.

Subtract 16 from both the sides of the equation obtained in step 1 to find the value of y.

16+y鈭�16=8鈭�16y=鈭�8

03

Step 3. Solve for another variable.

Substitute 鈥�8 for y into x=8+3y, to find the value of x.

x=8+3脳鈭�8=8鈭�24=鈭�16

Therefore, the solution of given system of equations is x=鈭�16, y=鈭�8.

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

State the converse of each conditional. Is the converse true or false?

If a number is divisible by 6, then it is divisible by 3.

You are told that the measure of an acute angle is equal to the difference between the measure of a supplement of the angle and twice the measure of a complement of the angle. What can you deduce about the angle? Explain.

Complete.

m鈭�AOB=?炉

Tell whether each statement is true or false. Then write the converse and tell whether it is true or false.

If points D, E, and F are collinear, then DE+EF=DF.

Cut the Mobius band lengthwise down the middle. (Start at a point midway between the edges and cut around the band.) What is the result? Cut the band a second time down the middle. Write a sentence or two describing what happens.
See all solutions

Recommended explanations on Math Textbooks

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Pure Maths

Read Explanation

Discrete Mathematics

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

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.