Question

Ştiind că: x/y=7/9. Calculați: x+8y/3x+6y

Answer 1

$\frac{x}{y} = \frac{7}{9} \\ = > 9x = 7y$
$\frac{x + 8y}{3x + 6y}$
Amplificam cu 3:
$\frac{3(x + 8y)}{3(3x + 6y)} \\ \frac{3x + 24y}{9x + 18y}$
Dar 9x = 7y asa ca inlocuim.

$\frac{3x + 24y}{7y + 18y}$
Mai amplificam o data cu 3:

$\frac{3(3x + 24y)}{3(7y + 18y)} \\ \frac{9x + 72y}{75y}$
Dar 9x = 7y si inlocuim

$\frac{7y + 72y}{75y} \\ \frac{79y}{75y} \\ \frac{79}{75}$
Sper ca n-am gresit pe la calcule. Verifica