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Stiind ca 2a+3b/5a+4b=2/7, calculeaza 3a+2b/14a+5b=

Răspuns :

(2a+3b)/(5a+4b)=2/7

14a+21b=10a+8b
4a=-13b
a/b=-13/4


(3a+2b)/(14a+5b)=
=
(3a/b+2)/(14a/b+5)=
=[3×(-13/4)+2]/[14×(-13/4)+5]=
=(-39/4+2)/(-182/4+5)=
=(-39+8)/(-182+20)=
=(-31)/(-162)=
=31/162