Solve xy+(x+y)=-10+1

$$xy+(x+y)=-10+1$$

Solve for x

$$x=-\frac{y+9}{y+1}$$

$$y\neq -1$$

Steps for Solving Linear Equation

Add -10 and 1 to get -9.

$$xy+x+y=-9$$

Subtract y from both sides.

$$xy+x=-9-y$$

Combine all terms containing x.

$$\left(y+1\right)x=-9-y$$

The equation is in standard form.

$$\left(y+1\right)x=-y-9$$

Divide both sides by y+1.

$$\frac{\left(y+1\right)x}{y+1}=\frac{-y-9}{y+1}$$

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

$$x=\frac{-y-9}{y+1}$$

Divide -9-y by y+1.

$$x=-\frac{y+9}{y+1}$$

Solve for y

$$y=-\frac{x+9}{x+1}$$

$$x\neq -1$$

Steps for Solving Linear Equation

Add -10 and 1 to get -9.

$$xy+x+y=-9$$

Subtract x from both sides.

$$xy+y=-9-x$$

Combine all terms containing y.

$$\left(x+1\right)y=-9-x$$

The equation is in standard form.

$$\left(x+1\right)y=-x-9$$

Divide both sides by x+1.

$$\frac{\left(x+1\right)y}{x+1}=\frac{-x-9}{x+1}$$

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

$$y=\frac{-x-9}{x+1}$$

Divide -9-x by x+1.

$$y=-\frac{x+9}{x+1}$$