Question

Daca x supra y=4 supra 3 atunci 2x+y supra 3x-y=?

Answer 1

Daca x/y=4/3 atunci 2x+y/3x-y=?


$\frac{x}{y}= \frac{4}{3}\\ \\ x= \frac{4y}{3} \\ \\ \frac{2x+y}{x+3y} = \frac{2\cdot \frac{4y}{3}+y}{ \frac{4y}{3}+3y} \\ \\= \frac{8y+3y}{3}: \frac{12y-3y}{3} \\ \\ \frac{11y}{3}\cdot \frac{3}{9y} = \frac{11}{9}$

Answer 2

X/Y = 4/3 => X/4 = Y/3, X = 4Y/3
2X+Y/3X-Y = 11Y/3/9Y/3 = 11Y/3 × 3/9Y = 33Y/27Y = 33/27 = 11/9