Which of the following statements are true? Select all that apply. A If you rewrite a one-variable linear equation and see a statement like 4 = 4 or 4a + 6 = 4a + 6, then the equation has infinitely many solutions. B If you rewrite a one-variable linear equation and the variable terms are the same on each side of the equation, then you can solve the equation and find the value of the variable. C If a one-variable linear equation has one solution, then every value of the variable makes the equation true. D If both sides of a one-variable linear equation have the same variable term and different constant terms, then the equation has infinitely many solutions. E If a one-variable linear equation has no solution, then no value of the variable will make the equation true.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Which of the following statements are true? Select all that apply.

A If you rewrite a one-variable linear equation and see a statement like 4 = 4
or 4a + 6 = 4a + 6, then the equation has infinitely many solutions.

B If you rewrite a one-variable linear equation and the variable terms are the
same on each side of the equation, then you can solve the equation and find
the value of the variable.

C If a one-variable linear equation has one solution, then every value of the
variable makes the equation true.

D If both sides of a one-variable linear equation have the same variable term and
different constant terms, then the equation has infinitely many solutions.

E If a one-variable linear equation has no solution, then no value of the variable
will make the equation true.

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