Solve xy^1+4y=x³y²?

1 Answer
May 12, 2018

#y=(x+4)/x^3,x!=0#

Explanation:

#xy^1+4y=x^3y^2#

Factor #y# out of the left side.
#y(x+4)=x^3y^2#

Isolate for #y#.
#(x+4)/x^3=(y^2)/y#

#y=(x+4)/x^3,x!=0#

Note: since this is a rational expression, don't forget to state restrictions to variables in the denominator.