Question

Solve each system of equations using the addition method. $4 r-3 s=2$ $2 r+s=6$

Name: Problem 58, Chapter 4: Intermediate Algebra for College Students
Uploaded: 2020-03-13T14:22:51-08:00
Duration: 1 min 21 s
Channel: Ashley High
Description: Solve each system of equations using the addition method. 4 r-3 s=2 2 r+s=6

   Solve each system of equations using the addition method. $4 r-3 s=2$
$2 r+s=6$

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 4, Problem 58

Instant Answer

Solved by Expert Ashley High

03/13/2020

Step 1

(3)(2r + s) = (3)(6) 6r + 3s = 18 Show more…

Show all steps

Thanks for your feedback!

Solve each system of equations using the addition method. $4 r-3 s=2$ $2 r+s=6$

Play audio

Feedback

Ashley High and 68 other educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

System of Linear Equations

A system of linear equations consists of two or more equations with multiple variables, where each equation is linear. The goal is to find the set of variable values that satisfy all equations simultaneously, which can yield a single unique solution, infinitely many solutions, or no solution at all.

Elimination Method

The elimination method, also known as the addition method, is a systematic approach used to solve systems of linear equations. It involves adding or subtracting the equations—sometimes after multiplying one or more equations by appropriate factors—to eliminate one of the variables, thereby reducing the system to a single equation in one variable. Once one variable is found, its value is substituted back into one of the original equations to determine the remaining variable(s).

Please give Ace some feedback