Solve {l}{12065*x=30000*2.0}{y=x}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 12065 \cdot x = 30000 \cdot 2.0 }\\ { y = x }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z = \frac{12000}{2413} = 4\frac{2348}{2413} \approx 4.973062578$$

Solution Steps

Consider the first equation. Multiply 30000 and 2 to get 60000.

$$12065x=60000$$

Divide both sides by 12065.

$$x=\frac{60000}{12065}$$

Reduce the fraction \frac{60000}{12065} to lowest terms by extracting and canceling out 5.

$$x=\frac{12000}{2413}$$

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

$$y=\frac{12000}{2413}$$

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

$$z=\frac{12000}{2413}$$

The system is now solved.

$$x=\frac{12000}{2413} y=\frac{12000}{2413} z=\frac{12000}{2413}$$