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Question

4+5x=3x+1+2x
Which of the following best describes the solution set to the equation shown above?


A
The equation has exactly one solution, x=0
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B
The equation has exactly one solution, x=1
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C
The equation has no solution
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D
The equation has infinitely many solutions
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Solution

The correct option is A The equation has no solution
A solution to an equation is a value of the variable (in this case x ) that makes the equation true. Let's combine like terms:
4+5x=3x+1+2x
4+5x=5x+1
The two sides of the equation look similar, however, no matter what value of x we substitute into the equation, we will get 4 = 1, which is not true. Therefore, the equation has no solution.

Mathematics

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