amanf

2021-09-23

Solve rational equation.

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

Arnold Odonnell

Skilled2021-09-24Added 109 answers

Step 1

LCD is

We multiply both sides by LCD and distribute it

Or,

Or,

Step 2

Make right side equal to 0 and factor the left side

Or,

Or,

Or, y(2y-5)+1(2y-5)=0

Or, (2y-5)(y+1)=0

Step 3

Set each factor equal to 0 and find y.

Answer:

2y-5=0

Or, 2y=5

Or,

y+1=0

Or, y=-1