perform the indicated operation and simplify show work please:


\(\frac{x+4y}{x+y} + \frac{2x-y}{x+y}\)

Verified Answer :

naǫ

\(\frac{x+4y}{x+y}+\frac{2x-y}{x+y}=\frac{x+4y+2x-y}{x+y}=\frac{3x+3y}{x+y}=\frac{3(x+y)}{x+y}=3\ ;(x ot= -y)\)

x + 4y + 2x - y = x + 2x + 4y - y = 3x + 3y = 3
 x + y      x + y           x + y               x + y