Solve A=xy/x^2+xy+x/x+y

$$A = \frac { x y } { x ^ { 2 } + x y } + \frac { x } { x + y }$$

Solve for A

$$A=1$$

$$x\neq -y\text{ and }x\neq 0$$

Steps for Solving Linear Equation

Factor the expressions that are not already factored in \frac{xy}{x^{2}+xy}.

$$A=\frac{xy}{x\left(x+y\right)}+\frac{x}{x+y}$$

Cancel out x in both numerator and denominator.

$$A=\frac{y}{x+y}+\frac{x}{x+y}$$

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

$$A=\frac{y+x}{x+y}$$

Cancel out x+y in both numerator and denominator.

$$A=1$$

Solve for x (complex solution)

$$x\in \mathrm{C}\setminus 0,-y$$

$$A=1\text{ and }x\neq 0\text{ and }y\neq -x$$

Solve for x

$$x\in \mathrm{R}\setminus 0,-y$$

$$A=1\text{ and }x\neq 0\text{ and }y\neq -x$$