Answered: Solve the system of linear equations:…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Solve the system of linear equations: 2x+y=1

3x+4y=14

Please help with this. Show steps and if possible further explain the steps. I would like to learn how to properly solve this problem.

Expert Solution

Step 1

Solution:

Consider the given system of linear equations :

$2 x + y = 1 . . . . (1) 3 x + 4 y = 14 . . . . (2)$

For solving the given linear system we will use the elimination method, according to which we try to eliminate one variable by balancing the coefficient with multiply some integers, as

Now, eliminate 'y' from equation (1) and (2) with

Multiplying equation (1) by 4 we have

$4 (2 x + y) = 4 \times 1 8 x + 4 y = 4 . . . . (3)$

Therefore, the coefficient of 'y' in (3) and (2) is equal.

Now, subtracting equation (2) from equation (3) we have

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