Question

Daca x+y=17 si x supra y=3 supra 5,

Sa se afle x-y

Answer 1

Răspuns:

x+y=17=>x=17-y

x/y=3/5

inlocuim pe x

(17-y)/y=3/5 facem produsul mezilor cu al extremilor

5(17-y)=3y=>85-5y=3y=>85=3y+5y=>y=85/8

x=⁸⁾17-85/8=>(136-85)/8=>x=51/8

x-y=51/8-85/8=>x-y=-34/8⁽²= -17/4

Answer 2

x+y=17

x/y=3/5

x=3k

y=5k

3k+5k=17

8k=17

k=17/8

x=3×17/8

x=51/8

y=5×17/8

y=85/8

x-y=

=51/8-85/8=

=-34/8=-17/4