Question

stiind ca $\frac{x}{y} = \frac{2}{3} , calculati \frac{6x+y}{x+3y}$

Answer 1

x/y=2/3
3x=2y
x=2y/3
(6x+y)/(x+3y)=(12y/3+y)/(2y/3+3y)=[(12y+3y)/3]/[(2x+9y)/3]=
=(15y/3)/11y/3=15y/3:11y/3=15y/3·3/11y=15y/11y=15/11=1,(36)