/*! 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. 71 In the following exercises, solv... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

In the following exercises, solve the systems of equations by substitution.
2x+y=−43x−2y=−6

Short Answer

Expert verified

The solution set is (-2,0).

Step by step solution

01

Step 1. Given Information

In the following exercises, we have to solve the systems of equations by substitution.
2x+y=−43x−2y=−6

02

Step 2. Solving the equation 2x+y=−4 for the variable y.

Subtract2xonbothside2x+y-2x=−4-2xy=−4-2x

03

Step 3. Putting the value of y in the equation 3x−2y=−6.

3x-2(−4-2x)=-63x+8+4x=-67x+8=-6Subtract8onbothside7x+8-8=-6-87x=-14Divideby7onbothside77x=-147x=-2

04

Step 4. Putting the value of x in the equation y=−4-2x.

y=−4-2(-2)y=-4+4y=0

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.