/*! 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 31 Solve the systems of equations b... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q 31 (page 386)

Solve the systems of equations by substitution.

2x+y=-23x-y=7

Short Answer

Expert verified

The solution of system of linear equation is(1,-4)

Step by step solution

01

Step 1. Given information

The system of equations is2x+y=-23x-y=7

02

Step 2. Substitute the value of y from one equation into other equation 

2x+y=-2y=-2x-2

Now,

3x-y=73x-(-2x-2)=73x+2x+2=75x=5x=1

03

Step 3. Substitute the value of x in any equation 

2x+y=-22(1)+y=-2y=-4

04

Step 4. Required answer

The solution of system of linear equation is(1,-4)

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

Translate to a system of equation and solve.

The difference of two complementary angles is 55degrees. Find the measures of the angles.

Translate to a system of equations and solve:

Priam has a collection of nickels and quarters, with a total value of $7.30. The number of nickels is six less than

three times the number of quarters. How many nickels and how many quarters does he have?

Solve the system by substitution:x-4y=-4-3x+4y=0

Translate to a system of equations and solve:

The box office at a movie theater sold 147tickets for the evening show, and receipts totaled \(1302. How many

\)11adult and how many $8child tickets were sold?

Without graphing, determine the number of solutions and then classify the system of equations.

(a)y=-2x-44x+2y=9(b)3x+2y=22x+y=1
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Geometry

Read Explanation

Calculus

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

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.