Solve {l}{x/360=4pi}{y=2pi*4x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { \frac{x}{360} = 4 \pi }\\ { y = 2 \pi \cdot 4 x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=11520\pi ^{2}\approx 113697.842700549$$

Short Steps Using Substitution

Multiply each equation by the least common multiple of denominators in it. Simplify.

$$x=1440\pi y=2\pi \times 4x z=y$$

Substitute 1440\pi for x in the equation y=2\pi \times 4x.

$$y=2\pi \times 4\times 1440\pi$$

Solve y=2\pi \times 4\times 1440\pi for y.

$$y=11520\pi ^{2}$$

Substitute 11520\pi ^{2} for y in the equation z=y.

$$z=11520\pi ^{2}$$

The system is now solved.

$$x=1440\pi y=11520\pi ^{2} z=11520\pi ^{2}$$