Solve x+y+5x/xy

$$x + y + \frac { 5 x } { x y }$$

Evaluate

$$x+y+\frac{5}{y}$$

Short Solution Steps

Cancel out x in both numerator and denominator.

$$x+y+\frac{5}{y}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply x+y times \frac{y}{y}.

$$\frac{\left(x+y\right)y}{y}+\frac{5}{y}$$

Since \frac{\left(x+y\right)y}{y} and \frac{5}{y} have the same denominator, add them by adding their numerators.

$$\frac{\left(x+y\right)y+5}{y}$$

Do the multiplications in \left(x+y\right)y+5.

$$\frac{xy+y^{2}+5}{y}$$

Differentiate w.r.t. x

$$1$$