Solve {l}{p=5/5}{q={(frac{7*{(2)}+1}{2})}-p}{r=q}{s=r}{t=s}{text{Solvefor}utext{where}}{u=t}

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

Solve for p, q, r, s, t, u

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

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.

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

The system is now solved.

$$p=1 q=\frac{13}{2} r=\frac{13}{2} s=\frac{13}{2} t=\frac{13}{2} u=\frac{13}{2}$$