Solve z=x+2y-1

$$z = x + 2 y - 1$$

Solve for x

$$x=1+z-2y$$

Solution Steps

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

$$x+2y-1=z$$

Subtract 2y from both sides.

$$x-1=z-2y$$

Add 1 to both sides.

$$x=z-2y+1$$

Solve for y

$$y=\frac{1+z-x}{2}$$

Steps for Solving Linear Equation

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

$$x+2y-1=z$$

Subtract x from both sides.

$$2y-1=z-x$$

Add 1 to both sides.

$$2y=z-x+1$$

The equation is in standard form.

$$2y=1+z-x$$

Divide both sides by 2.

$$\frac{2y}{2}=\frac{1+z-x}{2}$$

Dividing by 2 undoes the multiplication by 2.

$$y=\frac{1+z-x}{2}$$