SOLUTION: Solve the equation 3/y = y/5y - 12

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Question 173202This question is from textbook Introductory Algebra
: Solve the equation
3/y = y/5y - 12 This question is from textbook Introductory Algebra

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
3%2Fy=y%2F%285y-12%29given
:
3%285y-12%29=y%5E2cross multiply
:
15y-36=y%5E2distribution
:
y^2-15y+36=0}}} standard quadratic form
:
%28y-3%29%28y-12%29=ofactoring
:
system%28y=3%2Cy=12%29