Example How many solutions does (6w – 12) = 2w + 2 have? You can rewrite the equation until you identify a true statement like 3 = 3, identify a false statement like 1 = 4, or solve for w. 글(6w-12)3 2w+ 2 2w - 4 = 2w + 2 -4 = 2 -4= 2 is a false statement. No value of w makes the equation true. So the equation has no solution. 1 Could you have stopped selving the equation in the Example sooner, before you reached the false statement -4 = 2? Explain.

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,...
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Example
How many solutions does (6w – 12) = 2w + 2 have?
You can rewrite the equation until you identify a true statement like 3 = 3,
identify a false statement like 1 = 4, or solve for w.
(6w – 12) = 2w + 2
2w – 4 = 2w + 2
-4 = 2
-4 = 2 is a false statement. No value of w makes the equation true. So the
equation has no solution.
1 Could you have stopped selving the equation in the Example sooner, before you
reached the false statement -4 = 2? Explain.
Transcribed Image Text:Example How many solutions does (6w – 12) = 2w + 2 have? You can rewrite the equation until you identify a true statement like 3 = 3, identify a false statement like 1 = 4, or solve for w. (6w – 12) = 2w + 2 2w – 4 = 2w + 2 -4 = 2 -4 = 2 is a false statement. No value of w makes the equation true. So the equation has no solution. 1 Could you have stopped selving the equation in the Example sooner, before you reached the false statement -4 = 2? Explain.
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