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Numerele rationale a si b verifica relatia a/3a+2b=5/22 Raportul a/b este egal cu...

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a/3a+2b=5/22
22a=(3a+2b)*5
22a=15a+10b
22a-15a=10b
7a=10b⇒a/b=10/7
Alitta
[tex]Asa\;cum\; vad\; eu\;,\; exercitiul\;are\;forma:\\ \frac{a}{3a+2b}=\frac{5}{22}\\\rightarrow\;22a=5(3a+2b)\\\rightarrow\;22a=15a+10b\\ \rightarrow\;7a=10b\;\Leftrightarrow\;\frac{a}{b}=\frac{10}{7}[/tex]