Solve 1/2p-q=4

$$\frac { 1 } { 2 } p - q = 4$$

Solve for p

$$p=2\left(q+4\right)$$

Steps for Solving Linear Equation

Add q to both sides.

$$\frac{1}{2}p=4+q$$

The equation is in standard form.

$$\frac{1}{2}p=q+4$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}p}{\frac{1}{2}}=\frac{q+4}{\frac{1}{2}}$$

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

$$p=\frac{q+4}{\frac{1}{2}}$$

Divide 4+q by \frac{1}{2} by multiplying 4+q by the reciprocal of \frac{1}{2}.

$$p=2q+8$$

Solve for q

$$q=\frac{p-8}{2}$$

Steps for Solving Linear Equation

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

$$-q=4-\frac{1}{2}p$$

The equation is in standard form.

$$-q=-\frac{p}{2}+4$$

Divide both sides by -1.

$$\frac{-q}{-1}=\frac{-\frac{p}{2}+4}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$q=\frac{-\frac{p}{2}+4}{-1}$$

Divide 4-\frac{p}{2} by -1.

$$q=\frac{p}{2}-4$$