EP ALGEBRA 1-ETEXT ACCESS
EP ALGEBRA 1-ETEXT ACCESS
11th Edition
ISBN: 9780133216455
Author: Charles
Publisher: SAVVAS L
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Chapter 1.9, Problem 51MR
To determine

Write an equation involving addition and demonstrate two ways to solve it.

Expert Solution & Answer
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Answer to Problem 51MR

  3x+34=133; x=33

Explanation of Solution

Given:

Write an equation involving addition and demonstrate two ways to solve it .

Concept Used:

Addition or Subtraction Property of Equality:

If a=b , then a+c=b+c or If a=b , then ac=bc

The property that states that if you add or subtract the same number to both sides of an equation, the sides remain equal (i.e., the equation continues to be true.)

Transposition Method for Solving Linear Equations in One Variable

Sometimes the two sides of an equation contain both variable and constants. In such cases, we first simplify two sides in their simplest forms and then transpose terms containing variable on R.H.S. to L.H.S. and constant terms on L.H.S. to R.H.S.

By transposing a term from one side to another side, we mean changing its sign and carrying it to the other side. In transposition, the plus sign of the term changes into minus sign on the other side and vice −versa.

Calculation:

Let an equation is 3x+34=133

We need to solve this equation in two ways.

In first way we can use the addition or subtraction property of equality.

Addition or Subtraction Property of Equality:

If a=b , then a+c=b+c or If a=b , then ac=bc

The property that states that if you add or subtract the same number to both sides of an equation, the sides remain equal (i.e., the equation continues to be true.)

    Steps Explanation
    3x+34=133Original Equation
    3x+3434=13334Subtract 34 from each side.
    3x=99Simplify
    3x3=993Divide each side by 3.
    Coefficient of x
    x=33Solution.
    3x+34=1333·33+34=13399+34=133134=134Check the solution.
    When x=33

In the second way we can use the transposition method.

Transposition Method: By transposing a term from one side to another side, we mean changing its sign and carrying it to the other side.

In transposition, the plus sign of the term changes into minus sign on the other side and vice −versa.

    Steps Explanation
    3x+34=133
    3x=13334Transpose 34 from left side
    To right side.
    3x=99Simplify
    3x3=993Divide each side by 3.
    Coefficient of x
    x=33Solution
    3x+34=1333·33+34=13399+34=133134=134Check the solution.
    When x=33

Thus, the equation is 3x+34=133 and solution x=33 , shown in two ways.

Chapter 1 Solutions

EP ALGEBRA 1-ETEXT ACCESS

Ch. 1.1 - Prob. 6LCCh. 1.1 - Prob. 7LCCh. 1.1 - Prob. 8LCCh. 1.1 - Prob. 9PPECh. 1.1 - Prob. 10PPECh. 1.1 - Prob. 11PPECh. 1.1 - Prob. 12PPECh. 1.1 - Prob. 13PPECh. 1.1 - Prob. 14PPECh. 1.1 - Prob. 15PPECh. 1.1 - Prob. 16PPECh. 1.1 - Prob. 17PPECh. 1.1 - Prob. 18PPECh. 1.1 - Prob. 19PPECh. 1.1 - Prob. 20PPECh. 1.1 - Prob. 21PPECh. 1.1 - Prob. 22PPECh. 1.1 - Prob. 23PPECh. 1.1 - Prob. 24PPECh. 1.1 - Prob. 25PPECh. 1.1 - Prob. 26PPECh. 1.1 - Prob. 27PPECh. 1.1 - Prob. 28PPECh. 1.1 - Prob. 29PPECh. 1.1 - Prob. 30PPECh. 1.1 - Prob. 31PPECh. 1.1 - Prob. 32PPECh. 1.1 - Prob. 33PPECh. 1.1 - Prob. 34PPECh. 1.1 - Prob. 35PPECh. 1.1 - Prob. 36PPECh. 1.1 - Prob. 37PPECh. 1.1 - Prob. 38PPECh. 1.1 - Prob. 39PPECh. 1.1 - Prob. 40PPECh. 1.1 - Prob. 41PPECh. 1.1 - Prob. 1MPCh. 1.2 - Prob. 1PCh. 1.2 - Prob. 2PCh. 1.2 - Prob. 3PCh. 1.2 - Prob. 4PCh. 1.2 - Prob. 1LCCh. 1.2 - Prob. 2LCCh. 1.2 - Prob. 3LCCh. 1.2 - Prob. 4LCCh. 1.2 - Prob. 5LCCh. 1.2 - Prob. 6LCCh. 1.2 - Prob. 7LCCh. 1.2 - Prob. 8LCCh. 1.2 - 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Prob. 46PPECh. 1.7 - Prob. 47PPECh. 1.7 - Prob. 48PPECh. 1.7 - Prob. 49PPECh. 1.7 - Prob. 50PPECh. 1.7 - Prob. 51PPECh. 1.7 - Prob. 52PPECh. 1.7 - Prob. 53PPECh. 1.7 - Prob. 54PPECh. 1.7 - Prob. 55PPECh. 1.7 - Prob. 56PPECh. 1.7 - Prob. 57PPECh. 1.7 - Prob. 58PPECh. 1.7 - Prob. 59PPECh. 1.7 - Prob. 60PPECh. 1.7 - Prob. 61PPECh. 1.7 - Prob. 62PPECh. 1.7 - Prob. 63PPECh. 1.7 - Prob. 64PPECh. 1.7 - Prob. 65PPECh. 1.7 - Prob. 66PPECh. 1.7 - Prob. 67PPECh. 1.7 - Prob. 68PPECh. 1.7 - Prob. 69PPECh. 1.7 - Prob. 70PPECh. 1.7 - Prob. 71PPECh. 1.7 - Prob. 72PPECh. 1.7 - Prob. 73PPECh. 1.7 - Prob. 74PPECh. 1.7 - Prob. 75PPECh. 1.7 - Prob. 76PPECh. 1.7 - Prob. 77PPECh. 1.7 - Prob. 78PPECh. 1.7 - Prob. 79PPECh. 1.7 - Prob. 80PPECh. 1.7 - Prob. 81PPECh. 1.7 - Prob. 82PPECh. 1.7 - Prob. 83PPECh. 1.7 - Prob. 84PPECh. 1.7 - Prob. 85PPECh. 1.7 - Prob. 86PPECh. 1.7 - Prob. 87PPECh. 1.7 - Prob. 88PPECh. 1.7 - Prob. 89PPECh. 1.7 - Prob. 90PPECh. 1.7 - Prob. 1MPCh. 1.8 - Prob. 1PCh. 1.8 - Prob. 2PCh. 1.8 - Prob. 3PCh. 1.8 - Prob. 4PCh. 1.8 - Prob. 5PCh. 1.8 - Prob. 6PCh. 1.8 - Prob. 1LCCh. 1.8 - Prob. 2LCCh. 1.8 - Prob. 3LCCh. 1.8 - Prob. 4LCCh. 1.8 - Prob. 5LCCh. 1.8 - Prob. 6LCCh. 1.8 - Prob. 7PPECh. 1.8 - Prob. 8PPECh. 1.8 - Prob. 9PPECh. 1.8 - Prob. 10PPECh. 1.8 - Prob. 11PPECh. 1.8 - Prob. 12PPECh. 1.8 - Prob. 13PPECh. 1.8 - Prob. 14PPECh. 1.8 - Prob. 15PPECh. 1.8 - Prob. 16PPECh. 1.8 - Prob. 17PPECh. 1.8 - Prob. 18PPECh. 1.8 - Prob. 19PPECh. 1.8 - Prob. 20PPECh. 1.8 - Prob. 21PPECh. 1.8 - Prob. 22PPECh. 1.8 - Prob. 23PPECh. 1.8 - Prob. 24PPECh. 1.8 - Prob. 25PPECh. 1.8 - Prob. 26PPECh. 1.8 - Prob. 27PPECh. 1.8 - Prob. 28PPECh. 1.8 - Prob. 29PPECh. 1.8 - Prob. 30PPECh. 1.8 - Prob. 31PPECh. 1.8 - Prob. 32PPECh. 1.8 - Prob. 33PPECh. 1.8 - Prob. 34PPECh. 1.8 - Prob. 35PPECh. 1.8 - Prob. 36PPECh. 1.8 - Prob. 37PPECh. 1.8 - Prob. 38PPECh. 1.8 - Prob. 39PPECh. 1.8 - Prob. 40PPECh. 1.8 - Prob. 41PPECh. 1.8 - Prob. 42PPECh. 1.8 - Prob. 43PPECh. 1.8 - Prob. 44PPECh. 1.8 - Prob. 45PPECh. 1.8 - Prob. 46PPECh. 1.8 - Prob. 47PPECh. 1.8 - Prob. 48PPECh. 1.8 - Prob. 49PPECh. 1.8 - Prob. 50PPECh. 1.8 - Prob. 51PPECh. 1.8 - Prob. 52PPECh. 1.8 - Prob. 53PPECh. 1.8 - Prob. 54PPECh. 1.8 - Prob. 55PPECh. 1.8 - Prob. 56PPECh. 1.8 - Prob. 57PPECh. 1.8 - Prob. 58PPECh. 1.8 - Prob. 59PPECh. 1.8 - Prob. 60PPECh. 1.8 - Prob. 61PPECh. 1.8 - Prob. 62PPECh. 1.8 - Prob. 63PPECh. 1.8 - Prob. 64PPECh. 1.8 - Prob. 65PPECh. 1.8 - Prob. 66PPECh. 1.8 - Prob. 1MPCh. 1.8 - Prob. 1CBCh. 1.8 - Prob. 2CBCh. 1.9 - Prob. 1RCh. 1.9 - Prob. 2RCh. 1.9 - Prob. 3RCh. 1.9 - Prob. 4RCh. 1.9 - Prob. 1PCh. 1.9 - Prob. 2PCh. 1.9 - Prob. 3PCh. 1.9 - Prob. 1LCCh. 1.9 - Prob. 2LCCh. 1.9 - Prob. 3LCCh. 1.9 - Prob. 4LCCh. 1.9 - Prob. 5LCCh. 1.9 - Prob. 6LCCh. 1.9 - Prob. 7LCCh. 1.9 - Prob. 8PPECh. 1.9 - Prob. 9PPECh. 1.9 - Prob. 10PPECh. 1.9 - Prob. 11PPECh. 1.9 - Prob. 12PPECh. 1.9 - Prob. 13PPECh. 1.9 - Prob. 14PPECh. 1.9 - Prob. 15PPECh. 1.9 - Prob. 16PPECh. 1.9 - Prob. 17PPECh. 1.9 - Prob. 18PPECh. 1.9 - Prob. 19PPECh. 1.9 - Prob. 20PPECh. 1.9 - Prob. 21PPECh. 1.9 - Prob. 22PPECh. 1.9 - Prob. 23PPECh. 1.9 - Prob. 24PPECh. 1.9 - Prob. 25PPECh. 1.9 - Prob. 26PPECh. 1.9 - Prob. 27PPECh. 1.9 - Prob. 28PPECh. 1.9 - Prob. 29PPECh. 1.9 - Prob. 30PPECh. 1.9 - Prob. 31PPECh. 1.9 - Prob. 32PPECh. 1.9 - Prob. 33PPECh. 1.9 - Prob. 34PPECh. 1.9 - Prob. 35PPECh. 1.9 - Prob. 36STPCh. 1.9 - Prob. 37STPCh. 1.9 - Prob. 38STPCh. 1.9 - Prob. 39STPCh. 1.9 - Prob. 40MRCh. 1.9 - Prob. 41MRCh. 1.9 - Prob. 42MRCh. 1.9 - Prob. 43MRCh. 1.9 - Prob. 44MRCh. 1.9 - Prob. 45MRCh. 1.9 - Prob. 46MRCh. 1.9 - Prob. 47MRCh. 1.9 - Prob. 48MRCh. 1.9 - Prob. 49MRCh. 1.9 - Prob. 50MRCh. 1.9 - Prob. 51MRCh. 1.9 - Prob. 52MRCh. 1.9 - Prob. 53MRCh. 1.9 - Prob. 54MRCh. 1 - Prob. 1GRCh. 1 - Prob. 2GRCh. 1 - Prob. 3GRCh. 1 - Prob. 4GRCh. 1 - Prob. 5GRCh. 1 - Prob. 6GRCh. 1 - Prob. 7GRCh. 1 - Prob. 8GRCh. 1 - Prob. 9GRCh. 1 - Prob. 10GRCh. 1 - Prob. 11GRCh. 1 - Prob. 12GRCh. 1 - Prob. 13GRCh. 1 - Prob. 14GRCh. 1 - Prob. 15GRCh. 1 - Prob. 16GRCh. 1 - Prob. 17GRCh. 1 - Prob. 18GRCh. 1 - Prob. 19GRCh. 1 - Prob. 20GRCh. 1 - Prob. 21GRCh. 1 - Prob. 22GRCh. 1 - Prob. 23GRCh. 1 - Prob. 24GRCh. 1 - Prob. 25GRCh. 1 - Prob. 26GRCh. 1 - Prob. 27GRCh. 1 - Prob. 1CRCh. 1 - Prob. 2CRCh. 1 - Prob. 3CRCh. 1 - Prob. 4CRCh. 1 - Prob. 5CRCh. 1 - Prob. 6CRCh. 1 - Prob. 7CRCh. 1 - Prob. 8CRCh. 1 - Prob. 9CRCh. 1 - Prob. 10CRCh. 1 - Prob. 11CRCh. 1 - Prob. 12CRCh. 1 - Prob. 13CRCh. 1 - Prob. 14CRCh. 1 - Prob. 15CRCh. 1 - Prob. 16CRCh. 1 - Prob. 17CRCh. 1 - Prob. 18CRCh. 1 - Prob. 19CRCh. 1 - Prob. 20CRCh. 1 - Prob. 21CRCh. 1 - Prob. 22CRCh. 1 - Prob. 23CRCh. 1 - Prob. 24CRCh. 1 - Prob. 25CRCh. 1 - Prob. 26CRCh. 1 - Prob. 27CRCh. 1 - Prob. 28CRCh. 1 - Prob. 29CRCh. 1 - Prob. 30CRCh. 1 - Prob. 31CRCh. 1 - Prob. 32CRCh. 1 - Prob. 33CRCh. 1 - Prob. 34CRCh. 1 - Prob. 35CRCh. 1 - Prob. 36CRCh. 1 - Prob. 37CRCh. 1 - Prob. 38CRCh. 1 - Prob. 39CRCh. 1 - Prob. 40CRCh. 1 - Prob. 41CRCh. 1 - Prob. 42CRCh. 1 - Prob. 43CRCh. 1 - Prob. 44CRCh. 1 - Prob. 45CRCh. 1 - Prob. 46CRCh. 1 - Prob. 47CRCh. 1 - Prob. 48CRCh. 1 - Prob. 49CRCh. 1 - Prob. 50CRCh. 1 - Prob. 51CRCh. 1 - Prob. 52CRCh. 1 - Prob. 53CRCh. 1 - Prob. 54CRCh. 1 - Prob. 55CRCh. 1 - Prob. 56CRCh. 1 - Prob. 57CRCh. 1 - Prob. 58CRCh. 1 - Prob. 59CRCh. 1 - Prob. 60CRCh. 1 - Prob. 61CRCh. 1 - Prob. 62CRCh. 1 - Prob. 63CRCh. 1 - Prob. 64CRCh. 1 - Prob. 65CRCh. 1 - Prob. 66CRCh. 1 - Prob. 67CRCh. 1 - Prob. 68CRCh. 1 - Prob. 69CRCh. 1 - Prob. 70CRCh. 1 - Prob. 71CRCh. 1 - Prob. 72CRCh. 1 - Prob. 73CRCh. 1 - Prob. 74CRCh. 1 - Prob. 75CRCh. 1 - Prob. 76CRCh. 1 - Prob. 77CRCh. 1 - Prob. 78CRCh. 1 - Prob. 79CRCh. 1 - Prob. 80CRCh. 1 - Prob. 81CRCh. 1 - Prob. 82CRCh. 1 - Prob. 83CRCh. 1 - Prob. 84CRCh. 1 - Prob. 85CRCh. 1 - Prob. 86CRCh. 1 - Prob. 87CRCh. 1 - Prob. 88CRCh. 1 - Prob. 89CRCh. 1 - Prob. 90CRCh. 1 - Prob. 91CRCh. 1 - Prob. 92CRCh. 1 - Prob. 93CRCh. 1 - Prob. 94CRCh. 1 - Prob. 95CRCh. 1 - Prob. 96CRCh. 1 - Prob. 97CRCh. 1 - Prob. 98CRCh. 1 - Prob. 99CRCh. 1 - Prob. 1CTCh. 1 - Prob. 2CTCh. 1 - Prob. 3CTCh. 1 - Prob. 4CTCh. 1 - Prob. 5CTCh. 1 - Prob. 6CTCh. 1 - Prob. 7CTCh. 1 - Prob. 8CTCh. 1 - Prob. 9CTCh. 1 - Prob. 10CTCh. 1 - Prob. 11CTCh. 1 - Prob. 12CTCh. 1 - Prob. 13CTCh. 1 - Prob. 14CTCh. 1 - Prob. 15CTCh. 1 - Prob. 16CTCh. 1 - Prob. 17CTCh. 1 - Prob. 18CTCh. 1 - Prob. 19CTCh. 1 - Prob. 20CTCh. 1 - Prob. 21CTCh. 1 - Prob. 22CTCh. 1 - Prob. 23CTCh. 1 - Prob. 24CTCh. 1 - Prob. 1CCSRCh. 1 - Prob. 2CCSRCh. 1 - Prob. 3CCSRCh. 1 - Prob. 4CCSRCh. 1 - Prob. 5CCSRCh. 1 - Prob. 6CCSRCh. 1 - Prob. 7CCSRCh. 1 - Prob. 8CCSRCh. 1 - Prob. 9CCSRCh. 1 - Prob. 10CCSRCh. 1 - Prob. 11CCSRCh. 1 - Prob. 12CCSRCh. 1 - Prob. 13CCSRCh. 1 - Prob. 14CCSRCh. 1 - Prob. 15CCSRCh. 1 - Prob. 16CCSRCh. 1 - Prob. 17CCSRCh. 1 - Prob. 18CCSRCh. 1 - Prob. 19CCSRCh. 1 - Prob. 20CCSRCh. 1 - Prob. 21CCSRCh. 1 - Prob. 22CCSRCh. 1 - Prob. 23CCSRCh. 1 - Prob. 24CCSR
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