Algebra 1
Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 3.2, Problem 46HP
To determine

Find the correct graph and explain it.

Expert Solution & Answer
Check Mark

Answer to Problem 46HP

The graph of Koko is correct and the solution algebraically is correct. x=−  1

Explanation of Solution

Given:

The equation: 3x+5=2x+4

The table with graph:

  Algebra 1, Chapter 3.2, Problem 46HP , additional homework tip 1

Concept Used:

In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Calculation:

Rewrite the equation with 0 on the right side.

  3x+5=2x+43x−2x+5=2x−2x+4    [ Subtract  2x  from  both  sides ] x+5=4x+5−4=4−4    [ Subtract  4  from  both  sides ] x+1=0

The related function is y=x+1 to graph the function. Make a table.

    Table Graph y=x+1
    x y=x+1 f(x) (x, f(x))
    −1 y=1  ·  (−1)+1=0 0 (−1,0)
    0 y=1  ·  (0)+1=1 1 (0,1)

    The graph intersect the x- axis at −  1 , so the solution is −  1

    		Algebra 1, Chapter 3.2, Problem 46HP , additional homework tip 2

Verify the solution algebraically

  Solve:3x+5=2x+43x−2x+5=2x−2x+4    [ Subtract  2x  from  both  sides ] x+5=4x+5−5=4−5    [ Subtract  5  from  both  sides ] x=−1

    Clavissa Koko
    3x+5=2x+43x−2x+5=2x−2x+4    [ Subtract  2x  from  both  sides ] x+5=4y=  x+9
    While solving the solution Clavissa did a mistake. Instead of subtract 4 from both side, she added 5 to right sides

    The correct step should be :

    x+5−4=4−4    [ Subtract  4  from  both  sides ] 

    		3x+5=2x+43x−2x+5=2x−2x+4    [ Subtract  2x  from  both  sides ] x+5=4x+5−4=4−4    [ Subtract  4  from  both  sides ] x+1=0y=x+1

    All the steps are correct.

The graph of Koko is correct and the solution algebraically is correct

While solving the solution Clavissa did a mistake. Instead of subtract 4 from both side, she added 5 to right sides.

Thus, the solution of the equation 3x+5=2x+4 is x=−  1

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Chapter 3.2, Problem 47HP

Chapter 3 Solutions

Algebra 1

Ch. 3.1 - Prob. 35PPSCh. 3.1 - Prob. 58PPSCh. 3.1 - Prob. 60HPCh. 3.1 - Prob. 68STPCh. 3.1 - Prob. 1ACYPCh. 3.1 - Prob. 1BCYPCh. 3.1 - Prob. 2CYPCh. 3.1 - Prob. 3CYPCh. 3.1 - Prob. 4ACYPCh. 3.1 - Prob. 4BCYP
Ch. 3.1 - Prob. 5ACYPCh. 3.1 - Prob. 5BCYPCh. 3.1 - Prob. 5CCYPCh. 3.1 - Prob. 1CYUCh. 3.1 - Prob. 2CYUCh. 3.1 - Prob. 3CYUCh. 3.1 - Prob. 4CYUCh. 3.1 - Prob. 5CYUCh. 3.1 - Prob. 6CYUCh. 3.1 - Prob. 7CYUCh. 3.1 - Prob. 8CYUCh. 3.1 - Prob. 9CYUCh. 3.1 - Prob. 10CYUCh. 3.1 - Prob. 11CYUCh. 3.1 - Prob. 12CYUCh. 3.1 - Prob. 13PPSCh. 3.1 - Prob. 14PPSCh. 3.1 - Prob. 15PPSCh. 3.1 - Prob. 16PPSCh. 3.1 - Prob. 17PPSCh. 3.1 - Prob. 18PPSCh. 3.1 - Prob. 19PPSCh. 3.1 - Prob. 20PPSCh. 3.1 - Prob. 21PPSCh. 3.1 - Prob. 22PPSCh. 3.1 - Prob. 23PPSCh. 3.1 - Prob. 24PPSCh. 3.1 - Prob. 25PPSCh. 3.1 - Prob. 26PPSCh. 3.1 - Prob. 27PPSCh. 3.1 - Prob. 28PPSCh. 3.1 - Prob. 29PPSCh. 3.1 - Prob. 30PPSCh. 3.1 - Prob. 31PPSCh. 3.1 - Prob. 32PPSCh. 3.1 - Prob. 33PPSCh. 3.1 - Prob. 34PPSCh. 3.1 - Prob. 36PPSCh. 3.1 - Prob. 37PPSCh. 3.1 - Prob. 38PPSCh. 3.1 - Prob. 39PPSCh. 3.1 - Prob. 40PPSCh. 3.1 - Prob. 41PPSCh. 3.1 - Prob. 42PPSCh. 3.1 - Prob. 43PPSCh. 3.1 - Prob. 44PPSCh. 3.1 - Prob. 45PPSCh. 3.1 - Prob. 46PPSCh. 3.1 - 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Prob. 3CYUCh. 3.4 - Prob. 4CYUCh. 3.4 - Prob. 5CYUCh. 3.4 - Prob. 6CYUCh. 3.4 - Prob. 7CYUCh. 3.4 - Prob. 8CYUCh. 3.4 - Prob. 9CYUCh. 3.4 - Prob. 10PPSCh. 3.4 - Prob. 11PPSCh. 3.4 - Prob. 12PPSCh. 3.4 - Prob. 13PPSCh. 3.4 - Prob. 14PPSCh. 3.4 - Prob. 15PPSCh. 3.4 - Prob. 16PPSCh. 3.4 - Prob. 17PPSCh. 3.4 - Prob. 18PPSCh. 3.4 - Prob. 19PPSCh. 3.4 - Prob. 20PPSCh. 3.4 - Prob. 21PPSCh. 3.4 - Prob. 22PPSCh. 3.4 - Prob. 23PPSCh. 3.4 - Prob. 24PPSCh. 3.4 - Prob. 25PPSCh. 3.4 - Prob. 26PPSCh. 3.4 - Prob. 27PPSCh. 3.4 - Prob. 28PPSCh. 3.4 - Prob. 29PPSCh. 3.4 - Prob. 30PPSCh. 3.4 - Prob. 31PPSCh. 3.4 - Prob. 32PPSCh. 3.4 - Prob. 33PPSCh. 3.4 - Prob. 34PPSCh. 3.4 - Prob. 35PPSCh. 3.4 - Prob. 36PPSCh. 3.4 - Prob. 37PPSCh. 3.4 - Prob. 38PPSCh. 3.4 - Prob. 39PPSCh. 3.4 - Prob. 40PPSCh. 3.4 - Prob. 41PPSCh. 3.4 - Prob. 42PPSCh. 3.4 - Prob. 43PPSCh. 3.4 - Prob. 44PPSCh. 3.4 - Prob. 45HPCh. 3.4 - Prob. 46HPCh. 3.4 - Prob. 47HPCh. 3.4 - Prob. 48HPCh. 3.4 - Prob. 49HPCh. 3.4 - Prob. 50HPCh. 3.4 - Prob. 51STPCh. 3.4 - Prob. 52STPCh. 3.4 - Prob. 53STPCh. 3.4 - Prob. 54STPCh. 3.4 - Prob. 55SRCh. 3.4 - Prob. 56SRCh. 3.4 - Prob. 57SRCh. 3.4 - Prob. 58SRCh. 3.4 - Prob. 59SRCh. 3.4 - Prob. 60SRCh. 3.4 - Prob. 61SRCh. 3.4 - Prob. 62SRCh. 3.4 - Prob. 63SRCh. 3.4 - Prob. 64SRCh. 3.4 - Prob. 65SRCh. 3.4 - Prob. 66SRCh. 3.4 - Prob. 67SRCh. 3.4 - Prob. 68SCh. 3.4 - Prob. 69SCh. 3.4 - Prob. 70SCh. 3.4 - Prob. 71SCh. 3.4 - Prob. 72SCh. 3.4 - Prob. 73SCh. 3.5 - Prob. 1ACYPCh. 3.5 - Prob. 1BCYPCh. 3.5 - Prob. 2CYPCh. 3.5 - Prob. 3ACYPCh. 3.5 - Prob. 3BCYPCh. 3.5 - Prob. 3CCYPCh. 3.5 - Prob. 3DCYPCh. 3.5 - Prob. 4ACYPCh. 3.5 - Prob. 4BCYPCh. 3.5 - Prob. 1CYUCh. 3.5 - Prob. 2CYUCh. 3.5 - Prob. 3CYUCh. 3.5 - Prob. 4CYUCh. 3.5 - Prob. 5CYUCh. 3.5 - Prob. 6CYUCh. 3.5 - Prob. 7CYUCh. 3.5 - Prob. 8PPSCh. 3.5 - Prob. 9PPSCh. 3.5 - Prob. 10PPSCh. 3.5 - Prob. 11PPSCh. 3.5 - Prob. 12PPSCh. 3.5 - Prob. 13PPSCh. 3.5 - Prob. 14PPSCh. 3.5 - Prob. 15PPSCh. 3.5 - Prob. 16PPSCh. 3.5 - Prob. 17PPSCh. 3.5 - Prob. 18PPSCh. 3.5 - Prob. 19PPSCh. 3.5 - Prob. 20PPSCh. 3.5 - Prob. 21PPSCh. 3.5 - Prob. 22PPSCh. 3.5 - Prob. 23PPSCh. 3.5 - Prob. 24PPSCh. 3.5 - Prob. 25PPSCh. 3.5 - Prob. 26PPSCh. 3.5 - Prob. 27PPSCh. 3.5 - Prob. 28PPSCh. 3.5 - Prob. 29PPSCh. 3.5 - Prob. 30PPSCh. 3.5 - Prob. 32HPCh. 3.5 - Prob. 33HPCh. 3.5 - Prob. 34HPCh. 3.5 - Prob. 35HPCh. 3.5 - Prob. 36HPCh. 3.5 - Prob. 37STPCh. 3.5 - Prob. 38STPCh. 3.5 - Prob. 39STPCh. 3.5 - Prob. 40STPCh. 3.5 - Prob. 41SRCh. 3.5 - Prob. 42SRCh. 3.5 - Prob. 43SRCh. 3.5 - Prob. 44SRCh. 3.5 - Prob. 45SRCh. 3.5 - Prob. 46SRCh. 3.5 - Prob. 47SRCh. 3.5 - Prob. 48SRCh. 3.5 - Prob. 49SRCh. 3.5 - Prob. 50SCh. 3.5 - Prob. 51SCh. 3.5 - Prob. 52SCh. 3.5 - Prob. 53SCh. 3.5 - Prob. 54SCh. 3.5 - Prob. 55SCh. 3.5 - Prob. 31PPSCh. 3.6 - Prob. 2CYUCh. 3.6 - Prob. 3CYUCh. 3.6 - Prob. 5PPSCh. 3.6 - Prob. 6PPSCh. 3.6 - Prob. 7PPSCh. 3.6 - Prob. 8PPSCh. 3.6 - Prob. 9PPSCh. 3.6 - Prob. 10PPSCh. 3.6 - Prob. 1CYUCh. 3.6 - Prob. 4PPSCh. 3.6 - Prob. 11PPSCh. 3.6 - Prob. 12PPSCh. 3.6 - Prob. 13PPSCh. 3.6 - Prob. 14HPCh. 3.6 - Prob. 15HPCh. 3.6 - Prob. 16HPCh. 3.6 - Prob. 17HPCh. 3.6 - Prob. 18HPCh. 3.6 - Prob. 1ACYPCh. 3.6 - Prob. 1BCYPCh. 3.6 - Prob. 1CCYPCh. 3.6 - Prob. 2ACYPCh. 3.6 - Prob. 2BCYPCh. 3.6 - Prob. 19STPCh. 3.6 - Prob. 20STPCh. 3.6 - Prob. 21STPCh. 3.6 - Prob. 22STPCh. 3.6 - Prob. 23SRCh. 3.6 - Prob. 24SRCh. 3.6 - Prob. 25SRCh. 3.6 - Prob. 26SRCh. 3.6 - Prob. 27SRCh. 3.6 - Prob. 28SRCh. 3.6 - Prob. 29SRCh. 3.6 - Prob. 30SCh. 3.6 - Prob. 31SCh. 3.6 - Prob. 32SCh. 3.6 - Prob. 33SCh. 3.6 - Prob. 34SCh. 3.6 - Prob. 35SCh. 3 - Prob. 1QCCh. 3 - Prob. 2QCCh. 3 - Prob. 3QCCh. 3 - Prob. 4QCCh. 3 - Prob. 5QCCh. 3 - Prob. 6QCCh. 3 - Prob. 13QCCh. 3 - Prob. 14QCCh. 3 - Prob. 15QCCh. 3 - Prob. 16QCCh. 3 - Prob. 17QCCh. 3 - Prob. 18QCCh. 3 - Prob. 19QCCh. 3 - Prob. 20QCCh. 3 - Prob. 21QCCh. 3 - Prob. 22QCCh. 3 - Prob. 23QCCh. 3 - Prob. 1MCQCh. 3 - Prob. 2MCQCh. 3 - Prob. 3MCQCh. 3 - Prob. 4MCQCh. 3 - Prob. 5MCQCh. 3 - Prob. 6MCQCh. 3 - Prob. 9MCQCh. 3 - Prob. 10MCQCh. 3 - Prob. 11MCQCh. 3 - Prob. 12MCQCh. 3 - 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Additional Math Textbook Solutions

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