Solve {l}{y=40*5*8*200}{x=y/12}{h=40*5*8/12}{t=50*12}

$$\left. \begin{array} { l } { y = 40 \times 5 \times 8 \times 200 } \\ { x = y / 12 } \\ { h = 40 \times 5 \times 8 / 12 } \\ { t = 50 \times 12 } \end{array} \right.$$

Solve for y, x, h, t

$$x = \frac{80000}{3} = 26666\frac{2}{3} \approx 26666.666666667$$

$$y=320000$$

$$t=600$$

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

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. Insert the known values of variables into the equation.

$$x=\frac{320000}{12}$$

Reduce the fraction \frac{320000}{12} to lowest terms by extracting and canceling out 4.

$$x=\frac{80000}{3}$$

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

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

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

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

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

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

Consider the fourth equation. Multiply 50 and 12 to get 600.

$$t=600$$

The system is now solved.

$$y=320000 x=\frac{80000}{3} h=\frac{400}{3} t=600$$