Question

stiind ca x supra y = 7 supra 9 determinati valorile rapoartelor urmatoare
a) 5x+2y supra 2x-y
b)x+8y supra 3x+6y
c)9x-7y supra 18x+14y

Answer 1

Notam raportul cu k si vom avea:

$\frac{x}{y} =\frac{7}{9}=k$

x=7k

y=9k

Inlocuim valorile si obtinem:

a)

$\frac{5x+2y}{2x-y}=\frac{5\cdot 7k+2\cdot 9k}{2\cdot 7k-9k} =\frac{53k}{5k} =\frac{53}{5}$

b)

$\frac{x+8y}{3x+6y} =\frac{7k+72k}{21k+54k}=\frac{79k}{75k} =\frac{79}{75}$

c)

$\frac{9x-7y}{18x+14y} =\frac{63k-63k}{18\cdot 7k+14\cdot 9k} =0$

Un alt exercitiu cu rapoarte gasesti aici: https://brainly.ro/tema/780131

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