Solve x-1/y+x=1P

$$\frac { x - 1 } { y + x } = 1 P$$

Solve for P

$$P=\frac{x-1}{x+y}$$

$$x\neq -y$$

Steps for Solving Linear Equation

Multiply both sides of the equation by x+y.

$$x-1=1P\left(x+y\right)$$

Use the distributive property to multiply 1P by x+y.

$$x-1=1Px+1Py$$

Swap sides so that all variable terms are on the left hand side.

$$1Px+1Py=x-1$$

Reorder the terms.

$$Px+Py=x-1$$

Combine all terms containing P.

$$\left(x+y\right)P=x-1$$

Divide both sides by y+x.

$$\frac{\left(x+y\right)P}{x+y}=\frac{x-1}{x+y}$$

Dividing by y+x undoes the multiplication by y+x.

$$P=\frac{x-1}{x+y}$$

Solve for x

$$\left\{\begin{matrix}x=\frac{Py+1}{1-P}\text{, }&y\neq -1\text{ and }P\neq 1\\x\neq 1\text{, }&P=1\text{ and }y=-1\end{matrix}\right.$$