What is the answer to: 3y/y * y+1/x =?

Question

Mistyped...

3x / y * y + 1 / x = ?

Answer 1

3y/y = 3 so...

3y/y * (y+1)/x = 3(y+1)/x = (3y + 3)/x

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If you meant

3y/x * (y+1)/x

multiply the numerators and denominators separately

(3y(y+1))/(x*x)

or

(3y^2 + 3y) / (x^2)

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Edit again

(3x / y) * (y + 1) / x

The procedure is the same.  Multiply the numerators and denominators separately

3x(y+1) / yx

Cancel the x factors to get...

3(y+1)/y

or

(3y + 3)/y

That's as far as you can go.

Answer 2

         y = 3x

Answer 3

The answer for 3x / y * y + 1 / x = ?

3x^2/xy * (y^2+y)/xy

(3x^2y^2 + 3x^2y) / xy

3xy + 3x

3x(y + 1)