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Dacă x supra y egal 3 supra 5 Calculati 3x plus 7y supra 4x plus 2y​

Dacă X Supra Y Egal 3 Supra 5 Calculati 3x Plus 7y Supra 4x Plus 2y class=

Răspuns :

[tex]\displaystyle{ \frac{x}{y} = \frac{3}{5} \rightarrow 5x = 3y \rightarrow x = \frac{3y}{5} }[/tex]

[tex]\displaystyle{ \frac{3x + 7y}{4x + 2y} = \frac{3 \cdot \frac{3y}{5} + 7y}{4 \cdot \frac{3y}{5} + 2y} }[/tex]

[tex]\displaystyle{ =\frac{4,5y + 7y}{2,4y + 2y} = \frac{11,5y}{4,4y} }[/tex]

[tex]\displaystyle{= \frac{11,5}{4,4} }[/tex]