Solve {l}{12+9=n+12}{o=n}{p=o}{q=p}{r=q}{s=r}{t=s}{u=t}{v=u}{w=v}{x=w}{y=x}{z=y}{text{Solvefor}atext{where}}{a=z}

$$\left. \begin{array} { l } { 12 + 9 = n + 12 }\\ { o = n }\\ { p = o }\\ { q = p }\\ { r = q }\\ { s = r }\\ { t = s }\\ { u = t }\\ { v = u }\\ { w = v }\\ { x = w }\\ { y = x }\\ { z = y }\\ { \text{Solve for } a \text{ where} } \\ { a = z } \end{array} \right.$$

Solve for n, o, p, q, r, s, t, u, v, w, x, y, z, a

$$a=9$$

Solution Steps

Consider the first equation. Add 12 and 9 to get 21.

$$21=n+12$$

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

$$n+12=21$$

Subtract 12 from both sides.

$$n=21-12$$

Subtract 12 from 21 to get 9.

$$n=9$$

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

$$o=9$$

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

$$p=9$$

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

$$q=9$$

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

$$r=9$$

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

$$s=9$$

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

$$t=9$$

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

$$u=9$$

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

$$v=9$$

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

$$w=9$$

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

$$x=9$$

Consider the equation (12). Insert the known values of variables into the equation.

$$y=9$$

Consider the equation (13). Insert the known values of variables into the equation.

$$z=9$$

Consider the equation (14). Insert the known values of variables into the equation.

$$a=9$$

The system is now solved.

$$n=9 o=9 p=9 q=9 r=9 s=9 t=9 u=9 v=9 w=9 x=9 y=9 z=9 a=9$$