Solve z=500x+300x2

$$z = 500 x + 300 x 2$$

Solve for x

$$x=\frac{z-300x_{2}}{500}$$

Steps for Solving Linear Equation

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

$$500x+300x_{2}=z$$

Subtract 300x_{2} from both sides.

$$500x=z-300x_{2}$$

Divide both sides by 500.

$$\frac{500x}{500}=\frac{z-300x_{2}}{500}$$

Dividing by 500 undoes the multiplication by 500.

$$x=\frac{z-300x_{2}}{500}$$

Divide z-300x_{2} by 500.

$$x=\frac{z}{500}-\frac{3x_{2}}{5}$$

Solve for x_2

$$x_{2}=\frac{z-500x}{300}$$

Steps for Solving Linear Equation

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

$$500x+300x_{2}=z$$

Subtract 500x from both sides.

$$300x_{2}=z-500x$$

Divide both sides by 300.

$$\frac{300x_{2}}{300}=\frac{z-500x}{300}$$

Dividing by 300 undoes the multiplication by 300.

$$x_{2}=\frac{z-500x}{300}$$

Divide z-500x by 300.

$$x_{2}=\frac{z}{300}-\frac{5x}{3}$$