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Daca x supra y = 2 supra 5 atunci 2x+5y supra 3x + 8y=?

Răspuns :

Dmihaela87
[tex] \frac{x}{y} = \frac{2}{5 } \\ x= \frac{2y}{5} [/tex]
relatia noastra devine
[tex] \frac{2* \frac{2y}{5}+5y }{3* \frac{2y}{5}+8y } = \frac{ \frac{4y+25y}{5} }{ \frac{6y+40y}{5} } = \\ =\frac{29y}{5} * \frac{5}{46y} = \frac{29}{46} [/tex]
 [tex]\frac{x}{y}=\frac{2}{5}\,\,\leftrightarrow\,\,\frac{x}{2}=\frac{y}{5}=k\\ \Rightarrow\,\,x=2k\,si\,y=5k\\ atunci,\,\frac{2*2k+5*5k}{3*2k+8*5k}=\frac{29\not{k}}{46\not{k}}=\frac{29}{46}[/tex]

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