Solve y+(2)+y/x=

$$y + ( 2 ) + y / x =$$

Evaluate

$$y+\frac{y}{x}+2$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply y+2 times \frac{x}{x}.

$$\frac{\left(y+2\right)x}{x}+\frac{y}{x}$$

Since \frac{\left(y+2\right)x}{x} and \frac{y}{x} have the same denominator, add them by adding their numerators.

$$\frac{\left(y+2\right)x+y}{x}$$

Do the multiplications in \left(y+2\right)x+y.

$$\frac{yx+2x+y}{x}$$

Differentiate w.r.t. x

$$-\frac{y}{x^{2}}$$