Solve 1/2x=y+1/2z

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

Solve for x

$$x=2y+z$$

Steps for Solving Linear Equation

The equation is in standard form.

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

Multiply both sides by 2.

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

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

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

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

$$x=2y+z$$

Solve for y

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

Solution Steps

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

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

Subtract \frac{1}{2}z from both sides.

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