Algebra 1
1st Edition
ISBN: 9780078884801
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Question
Chapter 3.2, Problem 33PPS
To determine
Find value of the unknown variable from the given equation.
Expert Solution & Answer
Answer to Problem 33PPS
158
Explanation of Solution
Given:
The Equation: 0=34 − 25x
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.
Here, for example, 5x + 9 is the expression on the left-hand side, which is equal to the expression 24 on the right-hand side. i.e. 5x+9 = 24 is an equation.
Calculation:
Addition or Subtraction Property of Equality:
If a = b , then a + c = b + c or If a = b , then a − c = b − c
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.)
Multiplication and Division Properties of Equality:
If a = b , then a · c = b · c
If a = b , then a ÷ c = b ÷ c , where c is not equal to 0.
In other words, if two expressions are equal to each other and you multiply or divide (except for 0) the exact same constant to both sides, the two sides will remain equal.
Given the Equation: 0=34 − 25x
Solve:0=34 − 25x34 − 25x=0 [Rule: if b=a, then a=b ]20 · 34 − 20 · 25x=20 · 0 [ Multiply both sides by 20] 15−8x=015−15−8x=0−15 [ Subtract 15 from both sides ]−8x=−15−8x−8 = −15−8 [ Divide each side by −8 ]x=158
Thus, the solution of the equation 0=34 − 25xis 158
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
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