2/(y+3)+3/(y-5)=1/15

[iCantPlayPudge]

2/(y+3)+3/(y-5)=1/15
y=?

[Xixibg]

[tex]\frac{2}{y+3}+\frac{3}{y-5}=\frac{1}{15}[/tex]
[tex]\frac{2.15.(y-5)}{15(y+3)(y-5)}+\frac{3.15.(y+3)}{15(y+3)(y-5)}=\frac{(y+3)(y-5)}{15(y+3)(y-5)} ; DM:y\ne -3;y\ne 5[/tex]
[tex]30(y-5)+45(y+3)=y^2-2y-15[/tex]
[tex]30y-150+45y+135-y^2+2y+15=0[/tex]
[tex]-y^2+77y=0[/tex]
[tex]-y(y-77)=0[/tex]
[tex]y_1=0 ; y_2=77[/tex]