Question

Afla raportul x/y,stiind ca 2x+y/x+2y=11/10
Dau. Coroana!!!!!

Answer 1

(2x+y)×10=(x+2y)×11
20x+10y=11x+22y
20x-11x=22y-10y
9x=12y | ÷y
9x/y=12
x/y= 12/9

Answer 2

vrainat 1
avand in vedere ca se cere x/y inseamna ca y≠0,deci putem imparti cu y  numaratorul si numitorul

(2*(x/y)+(y/y))/((x/y)+2y/y)=(2x/y+1)/((x/y)+2)=11/10
fie x/y=z
(2z+1)/(z+2)=11/10
20z+10=11z+22
9z=12
z=12/9=4/3
x/y=4/3


vrainta 2
 aplicam direct proprietatea fundamentala a proportiilor
20x+10y=11x+22y
9x=12y  |:4
3x=4y |:y
3x/y=4 |:3
x/y=4/3