Question

determinati x si y astfel incat urmatoarele fractii sa formeze un sir de fractii echivalente 4/5 ;4/2x-1 ;3y-1/10

Answer 1

4/5 si 4/2x-1 sunt echivalente daca:4×(2x-1)=5×4
8x-4=20
8x=24=>x=24/8=3
x=3
Verificare:4/5 si 4/2×3-1=>4×5=4×5
4/2x-1 si 3y-1/10 sunt echivalente daca:
4×10=(2x-1)×(3y-1)
40=(2×3-1)×(3y-1)
40=5×(3y-1)
40=15y-5
15y=40-5
15y=35=>y=35/15(simplificam cu 5)=>7/3=>y=2,(3)