Question

Resolva a seguinte equação fracionário
1/y+5 +2/y-5= 7/y²-25

Answer 1

$\frac{1}{y+5}+\frac{2}{y-5}= \frac{7}{y^2-25}$

$\frac{1(y-5)}{(y+5)(y-5)}+\frac{2(y+5)}{(y-5)(y+5)}=\frac{7}{y^2-25}$

$\frac{y-5}{y^2-25}+\frac{2y+10}{y^2-25}=\frac{7}{y^2-25}$

$\frac{3y+5}{y^2-25}=\frac{7}{y^2-25}$

$3y+5=7$

$3y=7-5$

$3y=2$

$\boxed{y=\frac{2}{3}}$