Question

$10 m-2 n=6$ $-5 m+n=-3$

Name: Problem 1, Chapter 4: Intermediate Algebra for College Students
Uploaded: 2021-07-23T19:58:06-08:00
Duration: 1 min 13 s
Channel: Sherrie Fenner
Description: 10 m-2 n=6 -5 m+n=-3

   $10 m-2 n=6$
$-5 m+n=-3$

Intermediate Algebra for College Students

Allen R. Angel;… 10th Edition

Chapter 4, Problem 1

Instant Answer

Solved by Expert Sherrie Fenner

07/23/2021

Step 1

Let's solve the first equation for m: $10m - 2n = 6$ Add $2n$ to both sides: $10m = 6 + 2n$ Divide both sides by 10: $m = \frac{6 + 2n}{10}$ Show more…

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$10 m-2 n=6$ $-5 m+n=-3$

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Key Concepts

System of Linear Equations

A system of linear equations consists of two or more equations containing the same set of variables. The goal is to find values for these variables such that every equation in the system is satisfied simultaneously. This concept is fundamental in algebra and has broad applications in fields ranging from engineering to economics.

Elimination Method

The elimination method is a strategy used to solve systems of linear equations by adding or subtracting equations to cancel out one of the variables. By reducing the number of variables in successive steps, one can simplify the system to a single equation with one unknown, which can then be solved directly. This method is particularly useful for systems where the coefficients are set up in a way that one variable can easily be eliminated.

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