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Daca a supra b=2 supra 5,calculati 7a-2b supra 4a+3b

Răspuns :

[tex] \frac{a}{b} = \frac{2}{5} [/tex]⇒[tex] \frac{a}{2} = \frac{b}{5}=k [/tex]

⇒a=2k
   b=5k
[tex] \frac{7a-2b}{4a+3b} = \frac{7*2k-2*5k}{4*2k+3*5k} = \frac{14k-10k}{8k+15k} = \frac{4k}{23k} = \frac{4}{23} [/tex]