Solve 11x+xy-5y+73=0

$$11 x + x y - 5 y + 73 = 0$$

Solve for x

$$x=-\frac{73-5y}{y+11}$$

$$y\neq -11$$

Steps for Solving Linear Equation

Add 5y to both sides. Anything plus zero gives itself.

$$11x+xy+73=5y$$

Subtract 73 from both sides.

$$11x+xy=5y-73$$

Combine all terms containing x.

$$\left(11+y\right)x=5y-73$$

The equation is in standard form.

$$\left(y+11\right)x=5y-73$$

Divide both sides by 11+y.

$$\frac{\left(y+11\right)x}{y+11}=\frac{5y-73}{y+11}$$

Dividing by 11+y undoes the multiplication by 11+y.

$$x=\frac{5y-73}{y+11}$$

Solve for y

$$y=-\frac{11x+73}{x-5}$$

$$x\neq 5$$

Steps for Solving Linear Equation

Subtract 11x from both sides. Anything subtracted from zero gives its negation.

$$xy-5y+73=-11x$$

Subtract 73 from both sides.

$$xy-5y=-11x-73$$

Combine all terms containing y.

$$\left(x-5\right)y=-11x-73$$

Divide both sides by x-5.

$$\frac{\left(x-5\right)y}{x-5}=\frac{-11x-73}{x-5}$$

Dividing by x-5 undoes the multiplication by x-5.

$$y=\frac{-11x-73}{x-5}$$

Divide -11x-73 by x-5.

$$y=-\frac{11x+73}{x-5}$$