Warning: foreach() argument must be of type array|object, bool given in /var/www/html/web/app/themes/studypress-core-theme/template-parts/header/mobile-offcanvas.php on line 20

Solve each system of equations by the substitution method.

x7y=13

3x5y=23

Short Answer

Expert verified

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

Step by step solution

01

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

Add 7y on both the sides of x-7y=13and simplify.

x7y+7y=13+7y

x=13+7y

Substitute 13+7yfor into 3x-5y=23and simplify.

313+7y5y=23

39+21y5y=23

39+16y=23

16y=16

02

Step 2. Solve for one variable.

Divide each side of the equation obtained in step 2 by 16 to find the value of y.

16y16=1616

y=1

03

Step 3. Solve for another variable.

Substitute -1for into x-7y=13, to find the value of x.

x71=13

x+7=13

x=6

Therefore, the solution of given system of equations isx = 6, y = – 1.

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 Vaia!

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.

Sign-up for free