Question

What is the simplified form of 4x+2/x+5 plus 3x-1/x+5

Answer 1

`\bf \underset{\textit{same denominator}}{\cfrac{4x+2}{x+5}+\cfrac{3x-1}{x+5}}\implies \cfrac{(4x+2)+(3x-1)}{x+5}\implies \cfrac{7x+1}{x+5}`

Answer 2

(7x+1)/(x+5)

Explanation:

4x+2 3x-1

-------- + ----------

x+5 x+5

Since the denominator is the same, we can add the numerators

4x+2 + 3x-1

-----------------------

x+5

Combine like terms

7x+1

-----------------------

x+5