Solve {l}{3t-7=5t}{u=6t}{text{Solvefor}vtext{where}}{v=u}

$$\left. \begin{array} { l } { 3 t - 7 = 5 t }\\ { u = 6 t }\\ { \text{Solve for } v \text{ where} } \\ { v = u } \end{array} \right.$$

Solve for t, u, v

$$v=-21$$

Solution Steps

Consider the first equation. Subtract 5t from both sides.

$$3t-7-5t=0$$

Combine 3t and -5t to get -2t.

$$-2t-7=0$$

Add 7 to both sides. Anything plus zero gives itself.

$$-2t=7$$

Divide both sides by -2.

$$t=-\frac{7}{2}$$

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

$$u=6\left(-\frac{7}{2}\right)$$

Multiply 6 and -\frac{7}{2} to get -21.

$$u=-21$$

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

$$v=-21$$

The system is now solved.

$$t=-\frac{7}{2} u=-21 v=-21$$