High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
15th Edition
ISBN: 9780133281163
Author: Prentice Hall
Publisher: Prentice Hall
Expert Solution & Answer
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Chapter 3.5, Problem 9PPSE
Solution

To state: The solutions for the system of equation by elimination also check the answer.

  x−y+z=−1x+y+3z=−32x−y+2z=0

The resultant solution is 4,2,−3 .

Given information:

The given system equations is:

  x−y+z=−1x+y+3z=−32x−y+2z=0

Explanation:

Write the original system equations:

  x−y+z=−1x+y+3z=−32x−y+2z=0

Let’s number the equation,

  x−y+z=−1⋯1x+y+3z=−3⋯22x−y+2z=0⋯3

Add equation (1) and (2) to eliminate variable y ,

  x−y+z=−1   x+y+3z=−3¯ 2x+4z=−4

Number the resultant equation,

  2x+4z=−4⋯4

Add equation (2) and (3) to eliminate variable y ,

  2x−y+2z=0   x+y+3z=−3¯ 3x+5z=−3

Number the resultant equation,

  3x+5z=−3⋯5

Now multiply equation (4) by -3 and equation (5) by 2,

  2x+4z=−4×−3−6x−12z=12⋯63x+5z=−3×26x+10z=−6⋯7

Add equations (6) and (7),

  −6x−12z=12   6x+10z=−6¯           −2z=6z=−3

Now find the value of variable x by substituting the values of z in equation (4) and simplify,

  2x+4z=−42x+4−3=−42x−12=−42x=8x=4

Now find the value of variable y by substituting the values of x and z in equation (1) and simplify,

  x−y+z=−14−y+−3=−14−y−3=−1−y+1=−1−y=−1−1y=2

Therefore, the solution for the given system of equation is 4,2,−3 .

Now check the solution by substituting the values of variables x , y and z into the other two original equations,

  x+y+3z=−34+2+3−3=?−36−9=?−3−3=−3

Similarly substitute values of variables x , y and z into equation (3),

  2x−y+2z=024−2+2−3=?08−2−6=?00=0

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Chapter 3.5, Problem 8LC
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Chapter 3.5, Problem 10PPSE

Chapter 3 Solutions

High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11

Ch. 3.1 - Prob. 1LCCh. 3.1 - Prob. 2LCCh. 3.1 - Prob. 3LCCh. 3.1 - Prob. 4LCCh. 3.1 - Prob. 5LCCh. 3.1 - Prob. 6LCCh. 3.1 - Prob. 7PPSECh. 3.1 - Prob. 8PPSECh. 3.1 - Prob. 9PPSECh. 3.1 - Prob. 10PPSE
Ch. 3.1 - Prob. 11PPSECh. 3.1 - Prob. 12PPSECh. 3.1 - Prob. 13PPSECh. 3.1 - Prob. 14PPSECh. 3.1 - Prob. 15PPSECh. 3.1 - Prob. 16PPSECh. 3.1 - Prob. 17PPSECh. 3.1 - Prob. 18PPSECh. 3.1 - Prob. 19PPSECh. 3.1 - Prob. 20PPSECh. 3.1 - Prob. 21PPSECh. 3.1 - Prob. 22PPSECh. 3.1 - Prob. 23PPSECh. 3.1 - Prob. 24PPSECh. 3.1 - Prob. 25PPSECh. 3.1 - Prob. 26PPSECh. 3.1 - Prob. 27PPSECh. 3.1 - Prob. 28PPSECh. 3.1 - Prob. 29PPSECh. 3.1 - Prob. 30PPSECh. 3.1 - Prob. 31PPSECh. 3.1 - Prob. 32PPSECh. 3.1 - Prob. 33PPSECh. 3.1 - Prob. 34PPSECh. 3.1 - Prob. 35PPSECh. 3.1 - Prob. 36PPSECh. 3.1 - Prob. 37PPSECh. 3.1 - Prob. 38PPSECh. 3.1 - Prob. 39PPSECh. 3.1 - Prob. 40PPSECh. 3.1 - Prob. 41PPSECh. 3.1 - Prob. 42PPSECh. 3.1 - Prob. 43PPSECh. 3.1 - Prob. 44PPSECh. 3.1 - Prob. 45PPSECh. 3.1 - Prob. 46PPSECh. 3.1 - Prob. 47PPSECh. 3.1 - Prob. 48PPSECh. 3.1 - Prob. 49PPSECh. 3.1 - Prob. 50PPSECh. 3.1 - Prob. 51PPSECh. 3.1 - Prob. 52PPSECh. 3.1 - Prob. 53PPSECh. 3.1 - Prob. 54PPSECh. 3.1 - Prob. 55PPSECh. 3.1 - Prob. 56PPSECh. 3.2 - Prob. 1LCCh. 3.2 - Prob. 2LCCh. 3.2 - Prob. 3LCCh. 3.2 - Prob. 4LCCh. 3.2 - Prob. 5LCCh. 3.2 - Prob. 6LCCh. 3.2 - Prob. 7LCCh. 3.2 - Prob. 8LCCh. 3.2 - Prob. 9LCCh. 3.2 - Prob. 10PPSECh. 3.2 - Prob. 11PPSECh. 3.2 - Prob. 12PPSECh. 3.2 - Prob. 13PPSECh. 3.2 - Prob. 14PPSECh. 3.2 - Prob. 15PPSECh. 3.2 - Prob. 16PPSECh. 3.2 - Prob. 17PPSECh. 3.2 - Prob. 18PPSECh. 3.2 - Prob. 19PPSECh. 3.2 - Prob. 20PPSECh. 3.2 - Prob. 21PPSECh. 3.2 - Prob. 22PPSECh. 3.2 - Prob. 23PPSECh. 3.2 - Prob. 24PPSECh. 3.2 - Prob. 25PPSECh. 3.2 - Prob. 26PPSECh. 3.2 - Prob. 27PPSECh. 3.2 - Prob. 28PPSECh. 3.2 - Prob. 29PPSECh. 3.2 - Prob. 30PPSECh. 3.2 - Prob. 31PPSECh. 3.2 - Prob. 32PPSECh. 3.2 - Prob. 33PPSECh. 3.2 - Prob. 34PPSECh. 3.2 - Prob. 35PPSECh. 3.2 - Prob. 36PPSECh. 3.2 - Prob. 37PPSECh. 3.2 - Prob. 38PPSECh. 3.2 - Prob. 39PPSECh. 3.2 - Prob. 40PPSECh. 3.2 - Prob. 41PPSECh. 3.2 - Prob. 42PPSECh. 3.2 - Prob. 43PPSECh. 3.2 - Prob. 44PPSECh. 3.2 - Prob. 45PPSECh. 3.2 - Prob. 46PPSECh. 3.2 - Prob. 47PPSECh. 3.2 - Prob. 48PPSECh. 3.2 - Prob. 49PPSECh. 3.2 - Prob. 50PPSECh. 3.2 - Prob. 51PPSECh. 3.2 - Prob. 52PPSECh. 3.2 - Prob. 53PPSECh. 3.2 - Prob. 54PPSECh. 3.2 - Prob. 55PPSECh. 3.2 - Prob. 56PPSECh. 3.2 - Prob. 57PPSECh. 3.2 - Prob. 58PPSECh. 3.2 - Prob. 59PPSECh. 3.2 - Prob. 60PPSECh. 3.2 - Prob. 61PPSECh. 3.2 - Prob. 62PPSECh. 3.2 - Prob. 63PPSECh. 3.2 - Prob. 64PPSECh. 3.2 - Prob. 65PPSECh. 3.2 - Prob. 66PPSECh. 3.2 - Prob. 67PPSECh. 3.2 - Prob. 68PPSECh. 3.2 - Prob. 69PPSECh. 3.2 - Prob. 70PPSECh. 3.2 - Prob. 71PPSECh. 3.3 - Prob. 1LCCh. 3.3 - Prob. 2LCCh. 3.3 - Prob. 3LCCh. 3.3 - Prob. 4LCCh. 3.3 - Prob. 5LCCh. 3.3 - Prob. 6LCCh. 3.3 - Prob. 7LCCh. 3.3 - Prob. 8PPSECh. 3.3 - Prob. 9PPSECh. 3.3 - Prob. 10PPSECh. 3.3 - Prob. 11PPSECh. 3.3 - Prob. 12PPSECh. 3.3 - Prob. 13PPSECh. 3.3 - Prob. 14PPSECh. 3.3 - Prob. 15PPSECh. 3.3 - Prob. 16PPSECh. 3.3 - Prob. 17PPSECh. 3.3 - Prob. 18PPSECh. 3.3 - Prob. 19PPSECh. 3.3 - Prob. 20PPSECh. 3.3 - Prob. 21PPSECh. 3.3 - Prob. 22PPSECh. 3.3 - Prob. 23PPSECh. 3.3 - Prob. 24PPSECh. 3.3 - Prob. 25PPSECh. 3.3 - Prob. 26PPSECh. 3.3 - Prob. 27PPSECh. 3.3 - Prob. 28PPSECh. 3.3 - Prob. 29PPSECh. 3.3 - Prob. 30PPSECh. 3.3 - Prob. 31PPSECh. 3.3 - Prob. 32PPSECh. 3.3 - Prob. 33PPSECh. 3.3 - Prob. 34PPSECh. 3.3 - Prob. 35PPSECh. 3.3 - Prob. 36PPSECh. 3.3 - Prob. 37PPSECh. 3.3 - Prob. 38PPSECh. 3.3 - Prob. 39PPSECh. 3.3 - Prob. 40PPSECh. 3.3 - Prob. 41PPSECh. 3.3 - Prob. 42PPSECh. 3.3 - Prob. 43PPSECh. 3.3 - Prob. 44PPSECh. 3.3 - Prob. 45PPSECh. 3.3 - Prob. 46PPSECh. 3.3 - Prob. 47PPSECh. 3.3 - Prob. 48PPSECh. 3.3 - Prob. 49PPSECh. 3.3 - Prob. 50PPSECh. 3.3 - Prob. 51PPSECh. 3.3 - Prob. 52PPSECh. 3.3 - Prob. 53PPSECh. 3.3 - Prob. 54PPSECh. 3.3 - Prob. 55PPSECh. 3.3 - Prob. 56PPSECh. 3.3 - Prob. 57PPSECh. 3.3 - Prob. 58PPSECh. 3.3 - Prob. 59PPSECh. 3.3 - Prob. 60PPSECh. 3.3 - Prob. 61PPSECh. 3.3 - Prob. 62PPSECh. 3.3 - Prob. 63PPSECh. 3.3 - Prob. 64PPSECh. 3.3 - Prob. 65PPSECh. 3.3 - Prob. 66PPSECh. 3.3 - Prob. 67PPSECh. 3.3 - Prob. 68PPSECh. 3.3 - Prob. 69PPSECh. 3.3 - Prob. 70PPSECh. 3.3 - Prob. 71PPSECh. 3.3 - Prob. 72PPSECh. 3.4 - Prob. 1LCCh. 3.4 - Prob. 2LCCh. 3.4 - Prob. 3LCCh. 3.4 - Prob. 4LCCh. 3.4 - Prob. 5LCCh. 3.4 - Prob. 6LCCh. 3.4 - Prob. 7LCCh. 3.4 - Prob. 8LCCh. 3.4 - Prob. 9LCCh. 3.4 - Prob. 10PPSECh. 3.4 - Prob. 11PPSECh. 3.4 - Prob. 12PPSECh. 3.4 - Prob. 13PPSECh. 3.4 - Prob. 14PPSECh. 3.4 - Prob. 15PPSECh. 3.4 - Prob. 16PPSECh. 3.4 - Prob. 17PPSECh. 3.4 - Prob. 18PPSECh. 3.4 - Prob. 19PPSECh. 3.4 - Prob. 20PPSECh. 3.4 - Prob. 21PPSECh. 3.4 - Prob. 22PPSECh. 3.4 - Prob. 23PPSECh. 3.4 - Prob. 24PPSECh. 3.4 - Prob. 25PPSECh. 3.4 - Prob. 26PPSECh. 3.4 - Prob. 27PPSECh. 3.4 - Prob. 28PPSECh. 3.4 - Prob. 29PPSECh. 3.4 - Prob. 30PPSECh. 3.4 - Prob. 31PPSECh. 3.4 - Prob. 32PPSECh. 3.4 - Prob. 33PPSECh. 3.4 - Prob. 34PPSECh. 3.4 - Prob. 35PPSECh. 3.4 - Prob. 36PPSECh. 3.4 - Prob. 37PPSECh. 3.4 - Prob. 1ECh. 3.4 - Prob. 2ECh. 3.4 - Prob. 3ECh. 3.4 - Prob. 4ECh. 3.5 - Prob. 1ACh. 3.5 - Prob. 2ACh. 3.5 - Prob. 3ACh. 3.5 - Prob. 4ACh. 3.5 - Prob. 5ACh. 3.5 - Prob. 6ACh. 3.5 - Prob. 7ACh. 3.5 - Prob. 8ACh. 3.5 - Prob. 9ACh. 3.5 - Prob. 10ACh. 3.5 - Prob. 11ACh. 3.5 - Prob. 12ECh. 3.5 - Prob. 13ECh. 3.5 - Prob. 14ECh. 3.5 - Prob. 15ECh. 3.5 - Prob. 16ECh. 3.5 - Prob. 17ECh. 3.5 - Prob. 18ECh. 3.5 - Prob. 19ECh. 3.5 - Prob. 20ECh. 3.5 - Prob. 21ECh. 3.5 - Prob. 22ECh. 3.5 - Prob. 23ECh. 3.5 - Prob. 1LCCh. 3.5 - Prob. 2LCCh. 3.5 - Prob. 3LCCh. 3.5 - Prob. 4LCCh. 3.5 - Prob. 5LCCh. 3.5 - Prob. 6LCCh. 3.5 - Prob. 7LCCh. 3.5 - Prob. 8LCCh. 3.5 - Prob. 9PPSECh. 3.5 - Prob. 10PPSECh. 3.5 - Prob. 11PPSECh. 3.5 - Prob. 12PPSECh. 3.5 - Prob. 13PPSECh. 3.5 - Prob. 14PPSECh. 3.5 - Prob. 15PPSECh. 3.5 - Prob. 16PPSECh. 3.5 - Prob. 17PPSECh. 3.5 - Prob. 18PPSECh. 3.5 - Prob. 19PPSECh. 3.5 - Prob. 20PPSECh. 3.5 - Prob. 21PPSECh. 3.5 - Prob. 22PPSECh. 3.5 - Prob. 23PPSECh. 3.5 - Prob. 24PPSECh. 3.5 - Prob. 25PPSECh. 3.5 - Prob. 26PPSECh. 3.5 - Prob. 27PPSECh. 3.5 - Prob. 28PPSECh. 3.5 - Prob. 29PPSECh. 3.5 - Prob. 30PPSECh. 3.5 - Prob. 31PPSECh. 3.5 - Prob. 32PPSECh. 3.5 - Prob. 33PPSECh. 3.5 - Prob. 34PPSECh. 3.5 - Prob. 35PPSECh. 3.5 - Prob. 36PPSECh. 3.5 - Prob. 37PPSECh. 3.5 - Prob. 38PPSECh. 3.5 - Prob. 39PPSECh. 3.5 - Prob. 40PPSECh. 3.5 - Prob. 41PPSECh. 3.5 - Prob. 42PPSECh. 3.5 - Prob. 43PPSECh. 3.5 - Prob. 44PPSECh. 3.5 - Prob. 45PPSECh. 3.6 - Prob. 1LCCh. 3.6 - Prob. 2LCCh. 3.6 - Prob. 3LCCh. 3.6 - Prob. 4LCCh. 3.6 - Prob. 5LCCh. 3.6 - Prob. 6LCCh. 3.6 - Prob. 7LCCh. 3.6 - Prob. 8PPSECh. 3.6 - Prob. 9PPSECh. 3.6 - Prob. 10PPSECh. 3.6 - Prob. 11PPSECh. 3.6 - Prob. 12PPSECh. 3.6 - Prob. 13PPSECh. 3.6 - Prob. 14PPSECh. 3.6 - Prob. 15PPSECh. 3.6 - Prob. 16PPSECh. 3.6 - Prob. 17PPSECh. 3.6 - Prob. 18PPSECh. 3.6 - Prob. 19PPSECh. 3.6 - Prob. 20PPSECh. 3.6 - Prob. 21PPSECh. 3.6 - Prob. 22PPSECh. 3.6 - Prob. 23PPSECh. 3.6 - Prob. 24PPSECh. 3.6 - Prob. 25PPSECh. 3.6 - Prob. 26PPSECh. 3.6 - Prob. 27PPSECh. 3.6 - Prob. 28PPSECh. 3.6 - Prob. 29PPSECh. 3.6 - Prob. 30PPSECh. 3.6 - Prob. 31PPSECh. 3.6 - Prob. 32PPSECh. 3.6 - Prob. 33PPSECh. 3.6 - Prob. 34PPSECh. 3.6 - Prob. 35PPSECh. 3.6 - Prob. 36PPSECh. 3.6 - Prob. 37PPSECh. 3.6 - Prob. 38PPSECh. 3.6 - Prob. 39PPSECh. 3.6 - Prob. 40PPSECh. 3.6 - Prob. 41PPSECh. 3.6 - Prob. 42PPSECh. 3.6 - Prob. 43PPSECh. 3.6 - Prob. 44PPSECh. 3.6 - Prob. 45PPSECh. 3.6 - Prob. 46PPSECh. 3.6 - Prob. 47PPSECh. 3.6 - Prob. 48PPSECh. 3.6 - Prob. 49PPSECh. 3.6 - Prob. 50PPSECh. 3.6 - Prob. 51PPSECh. 3.6 - Prob. 52PPSECh. 3.6 - Prob. 53PPSECh. 3.6 - Prob. 54PPSECh. 3.6 - Prob. 55PPSECh. 3.6 - Prob. 56PPSECh. 3.6 - Prob. 57PPSECh. 3.6 - Prob. 58PPSECh. 3 - Prob. 1GRCh. 3 - Prob. 2GRCh. 3 - Prob. 3GRCh. 3 - Prob. 4GRCh. 3 - Prob. 5GRCh. 3 - Prob. 6GRCh. 3 - Prob. 7GRCh. 3 - Prob. 8GRCh. 3 - Prob. 9GRCh. 3 - Prob. 10GRCh. 3 - Prob. 11GRCh. 3 - Prob. 12GRCh. 3 - Prob. 13GRCh. 3 - Prob. 14GRCh. 3 - Prob. 15GRCh. 3 - Prob. 16GRCh. 3 - Prob. 17GRCh. 3 - Prob. 18GRCh. 3 - Prob. 19GRCh. 3 - Prob. 20GRCh. 3 - Prob. 21GRCh. 3 - Prob. 22GRCh. 3 - Prob. 23GRCh. 3 - Prob. 1MCQCh. 3 - Prob. 2MCQCh. 3 - Prob. 3MCQCh. 3 - Prob. 4MCQCh. 3 - Prob. 5MCQCh. 3 - Prob. 6MCQCh. 3 - Prob. 7MCQCh. 3 - Prob. 8MCQCh. 3 - Prob. 9MCQCh. 3 - Prob. 10MCQCh. 3 - Prob. 11MCQCh. 3 - Prob. 12MCQCh. 3 - Prob. 13MCQCh. 3 - Prob. 14MCQCh. 3 - Prob. 15MCQCh. 3 - Prob. 16MCQCh. 3 - Prob. 17MCQCh. 3 - Prob. 18MCQCh. 3 - Prob. 1CVCh. 3 - Prob. 2CVCh. 3 - Prob. 3ECh. 3 - Prob. 4ECh. 3 - Prob. 5ECh. 3 - Prob. 6ECh. 3 - Prob. 7ECh. 3 - Prob. 8ECh. 3 - Prob. 9ECh. 3 - Prob. 10ECh. 3 - Prob. 11ECh. 3 - Prob. 12ECh. 3 - Prob. 13ECh. 3 - Prob. 14ECh. 3 - Prob. 15ECh. 3 - Prob. 16ECh. 3 - Prob. 17ECh. 3 - Prob. 18ECh. 3 - Prob. 19ECh. 3 - Prob. 20ECh. 3 - Prob. 21ECh. 3 - Prob. 22ECh. 3 - Prob. 23ECh. 3 - Prob. 24ECh. 3 - Prob. 25ECh. 3 - Prob. 26ECh. 3 - Prob. 27ECh. 3 - Prob. 28ECh. 3 - Prob. 29ECh. 3 - Prob. 30ECh. 3 - Prob. 1CTCh. 3 - Prob. 2CTCh. 3 - Prob. 3CTCh. 3 - Prob. 4CTCh. 3 - Prob. 5CTCh. 3 - Prob. 6CTCh. 3 - Prob. 7CTCh. 3 - Prob. 8CTCh. 3 - Prob. 9CTCh. 3 - Prob. 10CTCh. 3 - Prob. 11CTCh. 3 - Prob. 12CTCh. 3 - Prob. 13CTCh. 3 - Prob. 14CTCh. 3 - Prob. 15CTCh. 3 - Prob. 1CCSRCh. 3 - Prob. 2CCSRCh. 3 - Prob. 3CCSRCh. 3 - Prob. 4CCSRCh. 3 - Prob. 5CCSRCh. 3 - Prob. 6CCSRCh. 3 - Prob. 7CCSRCh. 3 - Prob. 8CCSRCh. 3 - Prob. 9CCSRCh. 3 - Prob. 10CCSRCh. 3 - Prob. 11CCSRCh. 3 - Prob. 12CCSRCh. 3 - Prob. 13CCSRCh. 3 - Prob. 14CCSRCh. 3 - Prob. 15CCSRCh. 3 - Prob. 16CCSRCh. 3 - Prob. 17CCSRCh. 3 - Prob. 18CCSRCh. 3 - Prob. 19CCSRCh. 3 - Prob. 20CCSRCh. 3 - Prob. 21CCSRCh. 3 - Prob. 22CCSRCh. 3 - Prob. 23CCSR
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