Solve 1011-4q=6p+12

$$1011 - 4 q = 6 p + 12$$

Solve for p

$$p=-\frac{2q}{3}+\frac{333}{2}$$

Steps for Solving Linear Equation

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

$$6p+12=1011-4q$$

Subtract 12 from both sides.

$$6p=1011-4q-12$$

Subtract 12 from 1011 to get 999.

$$6p=999-4q$$

Divide both sides by 6.

$$\frac{6p}{6}=\frac{999-4q}{6}$$

Dividing by 6 undoes the multiplication by 6.

$$p=\frac{999-4q}{6}$$

Divide 999-4q by 6.

$$p=-\frac{2q}{3}+\frac{333}{2}$$

Solve for q

$$q=-\frac{3p}{2}+\frac{999}{4}$$

Steps for Solving Linear Equation

Subtract 1011 from both sides.

$$-4q=6p+12-1011$$

Subtract 1011 from 12 to get -999.

$$-4q=6p-999$$

Divide both sides by -4.

$$\frac{-4q}{-4}=\frac{6p-999}{-4}$$

Dividing by -4 undoes the multiplication by -4.

$$q=\frac{6p-999}{-4}$$

Divide 6p-999 by -4.

$$q=-\frac{3p}{2}+\frac{999}{4}$$