Solve {l}{p=5/5}{q={(frac{7*{(2)}+1}{2})}-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}

$$\left. \begin{array} { l } { p = \frac{5}{5} }\\ { q = {(\frac{7 \cdot {(2)} + 1}{2})} - p }\\ { r = q }\\ { s = r }\\ { t = s }\\ { u = t }\\ { v = u }\\ { w = v }\\ { x = w }\\ { y = x }\\ { z = y }\\ { \text{Solve for } a \text{ where} } \\ { a = z } \end{array} \right.$$

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

$$a = \frac{13}{2} = 6\frac{1}{2} = 6.5$$

Solution Steps

Consider the first equation. Divide 5 by 5 to get 1.

$$p=1$$

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

$$q=\frac{7\times 2+1}{2}-1$$

Multiply 7 and 2 to get 14.

$$q=\frac{14+1}{2}-1$$

Add 14 and 1 to get 15.

$$q=\frac{15}{2}-1$$

Subtract 1 from \frac{15}{2} to get \frac{13}{2}.

$$q=\frac{13}{2}$$

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

$$r=\frac{13}{2}$$

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

$$s=\frac{13}{2}$$

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

$$t=\frac{13}{2}$$

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

$$u=\frac{13}{2}$$

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

$$v=\frac{13}{2}$$

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

$$w=\frac{13}{2}$$

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

$$x=\frac{13}{2}$$

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

$$y=\frac{13}{2}$$

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

$$z=\frac{13}{2}$$

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

$$a=\frac{13}{2}$$

The system is now solved.

$$p=1 q=\frac{13}{2} r=\frac{13}{2} s=\frac{13}{2} t=\frac{13}{2} u=\frac{13}{2} v=\frac{13}{2} w=\frac{13}{2} x=\frac{13}{2} y=\frac{13}{2} z=\frac{13}{2} a=\frac{13}{2}$$