Solve 2left(xy+8x+8yright)=352

$$2 \left( xy+8x+8y \right) = 352$$

Solve for x

$$x=-\frac{8\left(y-22\right)}{y+8}$$

$$y\neq -8$$

Steps for Solving Linear Equation

Divide both sides by 2.

$$xy+8x+8y=\frac{352}{2}$$

Divide 352 by 2 to get 176.

$$xy+8x+8y=176$$

Subtract 8y from both sides.

$$xy+8x=176-8y$$

Combine all terms containing x.

$$\left(y+8\right)x=176-8y$$

Divide both sides by y+8.

$$\frac{\left(y+8\right)x}{y+8}=\frac{176-8y}{y+8}$$

Dividing by y+8 undoes the multiplication by y+8.

$$x=\frac{176-8y}{y+8}$$

Divide 176-8y by y+8.

$$x=\frac{8\left(22-y\right)}{y+8}$$

Solve for y

$$y=-\frac{8\left(x-22\right)}{x+8}$$

$$x\neq -8$$

Steps for Solving Linear Equation

Divide both sides by 2.

$$xy+8x+8y=\frac{352}{2}$$

Divide 352 by 2 to get 176.

$$xy+8x+8y=176$$

Subtract 8x from both sides.

$$xy+8y=176-8x$$

Combine all terms containing y.

$$\left(x+8\right)y=176-8x$$

Divide both sides by x+8.

$$\frac{\left(x+8\right)y}{x+8}=\frac{176-8x}{x+8}$$

Dividing by x+8 undoes the multiplication by x+8.

$$y=\frac{176-8x}{x+8}$$

Divide 176-8x by x+8.

$$y=\frac{8\left(22-x\right)}{x+8}$$