Solve {l}{y=40*5*8*200}{t=40*5*8/12}{b=t/40}

$$\left. \begin{array} { l } { y = 40 \times 5 \times 8 \times 200 } \\ { t = 40 \times 5 \times 8 / 12 } \\ { b = t / 40 } \end{array} \right.$$

Solve for y, t, b

$$y=320000$$

$$t = \frac{400}{3} = 133\frac{1}{3} \approx 133.333333333$$

$$b = \frac{10}{3} = 3\frac{1}{3} \approx 3.333333333$$

Solution Steps

Consider the first equation. Multiply 40 and 5 to get 200.

$$y=200\times 8\times 200$$

Multiply 200 and 8 to get 1600.

$$y=1600\times 200$$

Multiply 1600 and 200 to get 320000.

$$y=320000$$

Consider the second equation. Multiply 40 and 5 to get 200.

$$t=200\times \frac{8}{12}$$

Reduce the fraction \frac{8}{12} to lowest terms by extracting and canceling out 4.

$$t=200\times \frac{2}{3}$$

Multiply 200 and \frac{2}{3} to get \frac{400}{3}.

$$t=\frac{400}{3}$$

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

$$b=\frac{\frac{400}{3}}{40}$$

Express \frac{\frac{400}{3}}{40} as a single fraction.

$$b=\frac{400}{3\times 40}$$

Multiply 3 and 40 to get 120.

$$b=\frac{400}{120}$$

Reduce the fraction \frac{400}{120} to lowest terms by extracting and canceling out 40.

$$b=\frac{10}{3}$$

The system is now solved.

$$y=320000 t=\frac{400}{3} b=\frac{10}{3}$$