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Which statement represents the simplified form of the given equation and correctly describes the solution? 1/2(4x + 2) = 2(x + 1/2)

A. X=2; Exactly one real solution

B. X=4; Exactly on real solution

C. Infinite real solutions

D. No real solution

Respuesta :

coldswat
1/2(4x+2) = 2(x+1/2) | 2x + 1 = 2x + 1 | You subtract 1 on both sides and subtract 2x, therefore making it 0 | D. No real solution

The equation [tex]\frac{1}{2} (4x+2)=2(x+\frac{1}{2} )[/tex] has infinite real solutions.

What is equation?

"It is a statement which consists of equal symbol between two algebraic expressions."

For given question,

We have been given an equation [tex]\frac{1}{2} (4x+2)=2(x+\frac{1}{2} )[/tex]

We solve above equation.

[tex]\frac{1}{2} (4x+2)=2(x+\frac{1}{2} )\\\\(4x+2)=4(x+\frac{1}{2} )\\\\4x+2=4x+2\\\\[/tex]

The equations are equal and will have the same graph.

So, the solution that will work for one equation would also work for other equations as well.

Hence, there are infinite solutions to the equation.

Therefore, the equation [tex]\frac{1}{2} (4x+2)=2(x+\frac{1}{2} )[/tex] has infinite real solutions.

Learn more about infinite solution here:

https://brainly.com/question/10413253

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