Solve x-xy+y+25=0

$$x-xy+y+25=0$$

Solve for x

$$x=-\frac{y+25}{1-y}$$

$$y\neq 1$$

Steps for Solving Linear Equation

Subtract y from both sides. Anything subtracted from zero gives its negation.

$$x-xy+25=-y$$

Subtract 25 from both sides.

$$x-xy=-y-25$$

Combine all terms containing x.

$$\left(1-y\right)x=-y-25$$

Divide both sides by 1-y.

$$\frac{\left(1-y\right)x}{1-y}=\frac{-y-25}{1-y}$$

Dividing by 1-y undoes the multiplication by 1-y.

$$x=\frac{-y-25}{1-y}$$

Divide -y-25 by 1-y.

$$x=-\frac{y+25}{1-y}$$

Solve for y

$$y=-\frac{x+25}{1-x}$$

$$x\neq 1$$

Steps for Solving Linear Equation

Subtract x from both sides. Anything subtracted from zero gives its negation.

$$-xy+y+25=-x$$

Subtract 25 from both sides.

$$-xy+y=-x-25$$

Combine all terms containing y.

$$\left(-x+1\right)y=-x-25$$

The equation is in standard form.

$$\left(1-x\right)y=-x-25$$

Divide both sides by -x+1.

$$\frac{\left(1-x\right)y}{1-x}=\frac{-x-25}{1-x}$$

Dividing by -x+1 undoes the multiplication by -x+1.

$$y=\frac{-x-25}{1-x}$$

Divide -x-25 by -x+1.

$$y=-\frac{x+25}{1-x}$$