Question

Stiind ca x supra y = cu 3 supra 2,determina valoarea rapoartelor: 7x-4y supra x=2y si 3x+5y supra 2x +7y

Answer 1

Răspuns

$\frac{7x-4y}{x-2y}$ = -13 ; $\frac{3x+5y}{2x+7y}$ = $\frac{19}{20}$

Explicație pas cu pas:

$\frac{x}{y}$ = $\frac{3}{2}$ = k

k - coeficient de proportionalitate

x = 3k

y = 2k

$\frac{7x-4y}{x-2y}$ = $\frac{21k - 8k}{3k-4k}$ = -13

$\frac{3x+5y}{2x+7y}$ = $\frac{9k + 10k}{6k + 14k}$ = $\frac{19}{20}$