Solve {l}{3=17-7n}{o=n}{p=o}{q=p}{text{Solvefor}rtext{where}}{r=q}

$$\left. \begin{array} { l } { 3 = 17 - 7 n }\\ { o = n }\\ { p = o }\\ { q = p }\\ { \text{Solve for } r \text{ where} } \\ { r = q } \end{array} \right.$$

Solve for n, o, p, q, r

$$r=2$$

Solution Steps

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

$$17-7n=3$$

Subtract 17 from both sides.

$$-7n=3-17$$

Subtract 17 from 3 to get -14.

$$-7n=-14$$

Divide both sides by -7.

$$n=\frac{-14}{-7}$$

Divide -14 by -7 to get 2.

$$n=2$$

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

$$o=2$$

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

$$p=2$$

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

$$q=2$$

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

$$r=2$$

The system is now solved.

$$n=2 o=2 p=2 q=2 r=2$$