Solve {l}{5/7=p+4/7}{q=p}{text{Solvefor}rtext{where}}{r=q}

$$\left. \begin{array} { l } { \frac{5}{7} = p + \frac{4}{7} }\\ { q = p }\\ { \text{Solve for } r \text{ where} } \\ { r = q } \end{array} \right.$$

Solve for p, q, r

$$r=\frac{1}{7}\approx 0.142857143$$

Solution Steps

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

$$p+\frac{4}{7}=\frac{5}{7}$$

Subtract \frac{4}{7} from both sides.

$$p=\frac{5}{7}-\frac{4}{7}$$

Subtract \frac{4}{7} from \frac{5}{7} to get \frac{1}{7}.

$$p=\frac{1}{7}$$

Consider the second equation. Insert the known values of variables into the equation.

$$q=\frac{1}{7}$$

Consider the third equation. Insert the known values of variables into the equation.

$$r=\frac{1}{7}$$

The system is now solved.

$$p=\frac{1}{7} q=\frac{1}{7} r=\frac{1}{7}$$