Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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Chapter 3.1, Problem 7WE
To determine

To solve: The equation 2x+3y=7 .

Expert Solution & Answer
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Answer to Problem 7WE

The solution for the equation 2x+3y=7 for x=2,1,3 is y=113,53,13 respectively.

Explanation of Solution

Given information:The domain of the function is {2,1,3} .

Calculation:

The given equation is 2x+3y=7 .

Rewrite the equation in such a way that y is represented in terms of x,

  2x+3y=73y=72x                            (Subtract 2x from both the sides)y=72x3                            (Divide throughout by 3)

The value of y, when x=2 is,

  y=72x3y=72(2)3                                         (Substitute x=2)y=7+43                                                (Simplify)y=113                                  

Therefore, the value of y is 113 .

The value of y, when x=1 is,

  y=72x3y=72(1)3                                         (Substitute x=1)y=723                                              (Simplify)y=53                          

Therefore, the value of yis 53 .

The value of y, when x=3 is,

  y=72x3y=72(3)3                                         (Substitute x=3)y=763                                             (Simplify)y=13

Therefore, the value of y is 13 .

Chapter 3 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 3.1 - Prob. 11OECh. 3.1 - Prob. 1WECh. 3.1 - Prob. 2WECh. 3.1 - Prob. 3WECh. 3.1 - Prob. 4WECh. 3.1 - Prob. 5WECh. 3.1 - Prob. 6WECh. 3.1 - Prob. 7WECh. 3.1 - Prob. 8WECh. 3.1 - Prob. 9WECh. 3.1 - Prob. 10WECh. 3.1 - Prob. 11WECh. 3.1 - Prob. 12WECh. 3.1 - Prob. 13WECh. 3.1 - Prob. 14WECh. 3.1 - Prob. 15WECh. 3.1 - Prob. 16WECh. 3.1 - Prob. 17WECh. 3.1 - Prob. 18WECh. 3.1 - Prob. 19WECh. 3.1 - Prob. 20WECh. 3.1 - Prob. 21WECh. 3.1 - Prob. 22WECh. 3.1 - Prob. 23WECh. 3.1 - Prob. 24WECh. 3.1 - Prob. 25WECh. 3.1 - Prob. 26WECh. 3.1 - Prob. 27WECh. 3.1 - Prob. 28WECh. 3.1 - Prob. 29WECh. 3.1 - Prob. 30WECh. 3.1 - Prob. 31WECh. 3.1 - Prob. 32WECh. 3.1 - Prob. 33WECh. 3.1 - Prob. 34WECh. 3.1 - Prob. 35WECh. 3.1 - Prob. 36WECh. 3.1 - Prob. 37WECh. 3.1 - Prob. 38WECh. 3.1 - Prob. 39WECh. 3.1 - Prob. 40WECh. 3.1 - Prob. 1PCh. 3.1 - Prob. 2PCh. 3.1 - Prob. 3PCh. 3.1 - Prob. 4PCh. 3.1 - Prob. 5PCh. 3.1 - Prob. 6PCh. 3.1 - Prob. 7PCh. 3.1 - Prob. 8PCh. 3.1 - Prob. 9PCh. 3.1 - Prob. 10PCh. 3.1 - 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10 - Roots of polynomials; Author: Technion;https://www.youtube.com/watch?v=88YUeigknNg;License: Standard YouTube License, CC-BY