perform the indicated operation and simplify show work please:

[tex] \frac{x+4y}{x+y} + \frac{2x-y}{x+y} [/tex]



Answer :

naǫ
[tex]\frac{x+4y}{x+y}+\frac{2x-y}{x+y}=\frac{x+4y+2x-y}{x+y}=\frac{3x+3y}{x+y}=\frac{3(x+y)}{x+y}=3\ ;(x \not= -y)[/tex]
x + 4y + 2x - y = x + 2x + 4y - y = 3x + 3y = 3
 x + y      x + y           x + y               x + y

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