Solve {l}{m=30}{n=1/4}{o=1m+8-12n}{p=o}{q=p}{r=q}{s=r}{t=s}{u=t}{v=u}{text{Solvefor}wtext{where}}{w=v}

$$\left. \begin{array} { l } { m = 30 }\\ { n = \frac{1}{4} }\\ { o = 1 m + 8 - 12 n }\\ { p = o }\\ { q = p }\\ { r = q }\\ { s = r }\\ { t = s }\\ { u = t }\\ { v = u }\\ { \text{Solve for } w \text{ where} } \\ { w = v } \end{array} \right.$$

Solve for m, n, o, p, q, r, s, t, u, v, w

$$w=35$$

Solution Steps

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

$$o=1\times 30+8-12\times \frac{1}{4}$$

Multiply 1 and 30 to get 30.

$$o=30+8-12\times \frac{1}{4}$$

Add 30 and 8 to get 38.

$$o=38-12\times \frac{1}{4}$$

Multiply -12 and \frac{1}{4} to get -3.

$$o=38-3$$

Subtract 3 from 38 to get 35.

$$o=35$$

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

$$p=35$$

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

$$q=35$$

Consider the equation (6). Insert the known values of variables into the equation.

$$r=35$$

Consider the equation (7). Insert the known values of variables into the equation.

$$s=35$$

Consider the equation (8). Insert the known values of variables into the equation.

$$t=35$$

Consider the equation (9). Insert the known values of variables into the equation.

$$u=35$$

Consider the equation (10). Insert the known values of variables into the equation.

$$v=35$$

Consider the equation (11). Insert the known values of variables into the equation.

$$w=35$$

The system is now solved.

$$m=30 n=\frac{1}{4} o=35 p=35 q=35 r=35 s=35 t=35 u=35 v=35 w=35$$