Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
Use an algebraic approach to solve the problem. Find a number such that one-half of the number is 6 less than two-thirds of the number.
Expert Solution
Step 1
Given:
One half of the number is 6 less than
two-thirds of the number.
Find : The value of the number.
Let x be the number.
(1/2)x = (2/3)x - 6
Rearranging the above terms,
(x/2) - (2x/3) = - 6 ----------------- (1)
Now we need to find a common denominator, which is 6.
Now equation (1) becomes
(3x/6) - (4x/6)x = - 6
- x / 6 = - 6
X = 36
Step by step
Solved in 2 steps
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