cum pot rezolva si eu acesta problema;4x-y/3x+2y=5/12, atunci x/y=...

Răspuns :

4x-y/3x+2y=5/12 
<=> 12(4x-y)=5(3x+2y)
<=> 48x-12y=15x+10y
<=> 33x=22y 
<=> x/y=22/33
<=> x/y=2/3
[tex] \frac{4x-y}{3x+2y} = \frac{5}{12} \\ 12(4x-y)=5(3x+2y) \\ 48x-12y=15x+10y \\ 33x=22y \\ \frac{x}{y} = \frac{22}{33}= \frac{2}{3} [/tex]