What is the simplified form of 5x plus 4 over x plus 7 minus the fraction 2x plus 1 over x plus 7?
A. 3x plus 3 over x plus 7

B. 3x plus 5 over x plus 7

C. 7x plus 3 over x plus 7

D. 7x plus 5 over x plus 7

Respuesta :

The correct answer should be B. Hope that helps :)

Answer:  The correct option is

(A)  3x plus 3 over x plus 7.

Step-by-step explanation:  We are given to find the simplified form of the following expression :

"5x plus 4 over x plus 7 minus the fraction 2x plus 1 over x plus 7".

The given expression can be written and simplified as follows :

[tex]\dfrac{5x+4}{x+7}-\dfrac{2x+1}{x+7}\\\\\\=\dfrac{(5x+4)-(2x+1)}{x+7}\\\\\\=\dfrac{5x+4-2x-1}{x+7}\\\\\\=\dfrac{3x+3}{x+7}.[/tex]

Thus, the required simplified form is

"3x plus 3 over x plus 7".

Option (A) is CORRECT.

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