Solve {l}{3=4/5+t*3}{u=3}{text{Solvefor}vtext{where}}{v=u}

$$\left. \begin{array} { l } { 3 = \frac{4}{5} + t \cdot 3 }\\ { u = 3 }\\ { \text{Solve for } v \text{ where} } \\ { v = u } \end{array} \right.$$

Solve for t, u, v

$$v=3$$

Solution Steps

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

$$\frac{4}{5}+t\times 3=3$$

Subtract \frac{4}{5} from both sides.

$$t\times 3=3-\frac{4}{5}$$

Subtract \frac{4}{5} from 3 to get \frac{11}{5}.

$$t\times 3=\frac{11}{5}$$

Divide both sides by 3.

$$t=\frac{\frac{11}{5}}{3}$$

Express \frac{\frac{11}{5}}{3} as a single fraction.

$$t=\frac{11}{5\times 3}$$

Multiply 5 and 3 to get 15.

$$t=\frac{11}{15}$$

The system is now solved.

$$t=\frac{11}{15} u=3 v=3$$