Solve x=y-z/2

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

Solve for y

$$y=2x+z$$

Steps for Solving Linear Equation

Divide each term of y-z by 2 to get \frac{1}{2}y-\frac{1}{2}z.

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

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

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

Add \frac{1}{2}z to both sides.

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

The equation is in standard form.

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

Multiply both sides by 2.

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

Dividing by \frac{1}{2} undoes the multiplication by \frac{1}{2}.

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

Divide x+\frac{z}{2} by \frac{1}{2} by multiplying x+\frac{z}{2} by the reciprocal of \frac{1}{2}.

$$y=2x+z$$

Solve for x

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

Solution Steps

Divide each term of y-z by 2 to get \frac{1}{2}y-\frac{1}{2}z.

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