Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 3, Problem 8MCQ
To determine

To calculate: The solution set for the system of equations with the help either substitution or elimination.

  13x38y=2817x+57y=37

Expert Solution & Answer
Check Mark

Answer to Problem 8MCQ

The solution set for the system of equations is (21,56) .

Explanation of Solution

Given information:

The system of equations

  13x38y=2817x+57y=37

Calculation:

Consider the system of equations

  13x38y=2817x+57y=37

Use the method of elimination to solve the system above.

The lowest common multiple of first equation is 24 ; simplify it as,

  13x38y=28(13x88)(38y33)=288x9y=28248x9y=672

Simplify second equation as,

  17x+57y=37x+5y=377x+5y=259

Now, multiply x+5y=259 by 8 and then add into 8x9y=672 .

  (8)(x+5y)=(8)(259)8x40y=2072

Add both the equations,

  8x9y=6728x40y=2072+049y=2744

Therefore,

  49y=2744y=56

Now substitute y=56 in the equation x+5y=259 ,

  x+5(56)=259x280=259x=280259x=21

Therefore, solution is the coordinate pair, (21,56) .

Thus, the solution set for the system of equations is (21,56) .

Chapter 3 Solutions

Algebra 2

Ch. 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. 35PPSCh. 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. 42HPCh. 3.1 - Prob. 43HPCh. 3.1 - Prob. 44HPCh. 3.1 - Prob. 45HPCh. 3.1 - Prob. 46HPCh. 3.1 - Prob. 47HPCh. 3.1 - Prob. 48HPCh. 3.1 - Prob. 49HPCh. 3.1 - 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