Question

X+y supra 2x+ 3y egal 8 supra 19

Answer 1

$\frac{x+y}{2x+3y} = \frac{8}{19}$

Inmultim pe diagonala si rezulta:

19(x+y)= 8(2x+3y)

19x +19y = 16x+24y

19x-16x =24y-19y

3x=5y => $\frac{x}{y} = \frac{5}{3}$

Sper ca te-am ajutat!

Daca ai intrebari da-mi mesaj.

Spor!

Answer 2

$\frac{x+y}{2x+3y}= \frac{8}{19}\\ \\Produsul\ miezilor\ este\ egal\ cu\ produsul\ extremilor,\ atunci\\\\19(x+y)=8(2x+3y)\\\\19x+19y=16x+24y\\\\Ducem\ in\ stanga\ tot\ ce\ e\ cu\ x\ si\ in\ dreapta\ ce\ e\ cu\ y.\\\\19x-16x=24y-19y\\3x=5y\\\frac{3x}{y}=5\\ \frac{x}{y}=5/3$