Solve {l}{y=60t-3/2t^2}{t=39}

$$\left. \begin{array}{l}{ y = 60 t - \frac { 3 } { 2 } t ^ { 2 } }\\{ t = 39 }\end{array} \right.$$

Solve for y, t

$$y = \frac{117}{2} = 58\frac{1}{2} = 58.5$$

$$t=39$$

Solution Steps

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

$$y=60\times 39-\frac{3}{2}\times 39^{2}$$

Multiply 60 and 39 to get 2340.

$$y=2340-\frac{3}{2}\times 39^{2}$$

Calculate 39 to the power of 2 and get 1521.

$$y=2340-\frac{3}{2}\times 1521$$

Multiply -\frac{3}{2} and 1521 to get -\frac{4563}{2}.

$$y=2340-\frac{4563}{2}$$

Subtract \frac{4563}{2} from 2340 to get \frac{117}{2}.

$$y=\frac{117}{2}$$

The system is now solved.

$$y=\frac{117}{2} t=39$$