Question

Perform the indicated operation and simplify show work please:

Answer 1

$\frac{x+4y}{x+y}+\frac{2x-y}{x+y}=\frac{x+4y+2x-y}{x+y}=\frac{3x+3y}{x+y}=\frac{3(x+y)}{x+y}=3\ ;(x \not= -y)$

Answer 2

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