Solve q=500(10-p)

$$q = 500 ( 10 - p )$$

Solve for p

$$p=-\frac{q}{500}+10$$

Steps for Solving Linear Equation

Use the distributive property to multiply 500 by 10-p.

$$q=5000-500p$$

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

$$5000-500p=q$$

Subtract 5000 from both sides.

$$-500p=q-5000$$

Divide both sides by -500.

$$\frac{-500p}{-500}=\frac{q-5000}{-500}$$

Dividing by -500 undoes the multiplication by -500.

$$p=\frac{q-5000}{-500}$$

Divide q-5000 by -500.

$$p=-\frac{q}{500}+10$$

Solve for q

$$q=5000-500p$$

Solution Steps

Use the distributive property to multiply 500 by 10-p.

$$q=5000-500p$$