Solve rational equation. 2-\frac{3}{y}=\frac{5}{y^{2}}

amanf

amanf

Answered question

2021-09-23

Solve rational equation.
23y=5y2

Answer & Explanation

Arnold Odonnell

Arnold Odonnell

Skilled2021-09-24Added 109 answers

Step 1
LCD is y2
We multiply both sides by LCD and distribute it
23y=5y2
Or, y2(23y)=y25y2
Or, 2y23y=5
Step 2
Make right side equal to 0 and factor the left side
2y23y=5
Or, 2y23y5=0
Or, 2y25y+2y5=0
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: y=52 or -1
2y-5=0
Or, 2y=5
Or, y=52
y+1=0
Or, y=-1

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