Solve {l}{t=-0.5}{u=3}{v=t{(-4t+5u)}}{text{Solvefor}wtext{where}}{w=v}

$$\left. \begin{array} { l } { t = -0.5 }\\ { u = 3 }\\ { v = t {(-4 t + 5 u)} }\\ { \text{Solve for } w \text{ where} } \\ { w = v } \end{array} \right.$$

Solve for t, u, v, w

$$w=-8.5$$

Solution Steps

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

$$v=-0.5\left(-4\left(-0.5\right)+5\times 3\right)$$

Multiply -4 and -0.5 to get 2.

$$v=-0.5\left(2+5\times 3\right)$$

Multiply 5 and 3 to get 15.

$$v=-0.5\left(2+15\right)$$

Add 2 and 15 to get 17.

$$v=-0.5\times 17$$

Multiply -0.5 and 17 to get -8.5.

$$v=-8.5$$

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

$$w=-8.5$$

The system is now solved.

$$t=-0.5 u=3 v=-8.5 w=-8.5$$