Solve {l}{n=12}{10=6+t/8}{u=t}{text{Solvefor}vtext{where}}{v=u}

$$\left. \begin{array} { l } { n = 12 }\\ { 10 = 6 + \frac{t}{8} }\\ { u = t }\\ { \text{Solve for } v \text{ where} } \\ { v = u } \end{array} \right.$$

Solve for n, t, u, v

$$v=32$$

Solution Steps

Consider the second equation. Multiply both sides of the equation by 8.

$$80=48+t$$

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

$$48+t=80$$

Subtract 48 from both sides.

$$t=80-48$$

Subtract 48 from 80 to get 32.

$$t=32$$

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

$$u=32$$

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

$$v=32$$

The system is now solved.

$$n=12 t=32 u=32 v=32$$