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

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

Solve for y, x, n, t

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

$$y=320000$$

$$t=50$$

$$n = \frac{1600}{3} = 533\frac{1}{3} \approx 533.333333333$$

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. Insert the known values of variables into the equation.

$$n=\frac{\frac{80000}{3}}{50}$$

Express \frac{\frac{80000}{3}}{50} as a single fraction.

$$n=\frac{80000}{3\times 50}$$

Multiply 3 and 50 to get 150.

$$n=\frac{80000}{150}$$

Reduce the fraction \frac{80000}{150} to lowest terms by extracting and canceling out 50.

$$n=\frac{1600}{3}$$

The system is now solved.

$$y=320000 x=\frac{80000}{3} n=\frac{1600}{3} t=50$$