Solve {l}{1+3n=2}{o=1+3}{p=1-3}{text{Solvefor}q,rtext{where}}{q=o}{r=p}

$$\left. \begin{array} { l } { 1 + 3 n = 2 }\\ { o = 1 + 3 }\\ { p = 1 - 3 }\\ { \text{Solve for } q,r \text{ where} } \\ { q = o }\\ { r = p } \end{array} \right.$$

Solve for n, o, p, q, r

$$r=-2$$

$$q=4$$

Solution Steps

Consider the first equation. Subtract 1 from both sides.

$$3n=2-1$$

Subtract 1 from 2 to get 1.

$$3n=1$$

Divide both sides by 3.

$$n=\frac{1}{3}$$

Consider the second equation. Add 1 and 3 to get 4.

$$o=4$$

Consider the third equation. Subtract 3 from 1 to get -2.

$$p=-2$$

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

$$q=4$$

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

$$r=-2$$

The system is now solved.

$$n=\frac{1}{3} o=4 p=-2 q=4 r=-2$$