High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
15th Edition
ISBN: 9780133281163
Author: Prentice Hall
Publisher: Prentice Hall
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Expert Solution & Answer
Chapter 3.2, Problem 3LC
Solution
To solve the system of equations
The solution of the system of equations
Given the system of equations:
Concept Used:
Method of elimination in the case of linear equations in two variables:
Given a system of linear equations in two variables.
The method of elimination employs the elimination of one variable from the system of equations. Thus, the first step is to determine the variable that is to be eliminated. Then, the equations are multiplied with different non-zero constants and added together in a way so that the targeted variable is eliminated. In some cases, a simple addition would eliminate the variable. But, in general scalar multiplication is needed as said earlier.
Calculation:
Observe that the first equation has
Then, adding the equations will eliminate the variable
Perform the addition:
Thus, it is found that:
Find the value of
Thus, it is found that:
Substitute
Thus, it is found that:
Thus, the solution of the system of equations
Conclusion:
The solution of the system of equations
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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