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

Solution

## The correct option is A The equation has no solutionA 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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