Solve Qd=30-3P

$$Q d = 30 - 3 P$$

Solve for P

$$P=-\frac{Qd}{3}+10$$

Steps for Solving Linear Equation

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

$$30-3P=Qd$$

Subtract 30 from both sides.

$$-3P=Qd-30$$

Divide both sides by -3.

$$\frac{-3P}{-3}=\frac{Qd-30}{-3}$$

Dividing by -3 undoes the multiplication by -3.

$$P=\frac{Qd-30}{-3}$$

Divide Qd-30 by -3.

$$P=-\frac{Qd}{3}+10$$

Solve for Q

$$\left\{\begin{matrix}Q=-\frac{3\left(P-10\right)}{d}\text{, }&d\neq 0\\Q\in \mathrm{R}\text{, }&P=10\text{ and }d=0\end{matrix}\right.$$

Steps for Solving Linear Equation

The equation is in standard form.

$$dQ=30-3P$$

Divide both sides by d.

$$\frac{dQ}{d}=\frac{30-3P}{d}$$

Dividing by d undoes the multiplication by d.

$$Q=\frac{30-3P}{d}$$

Divide 30-3P by d.

$$Q=\frac{3\left(10-P\right)}{d}$$