Solve {l}{2*10^3*100*x=4*6*10^6}{y=4}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 2 \cdot 10 ^ {3} \cdot 100 \cdot x = 4 \cdot 6 \cdot 10 ^ {6} }\\ { y = 4 }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=4$$

Solution Steps

Consider the first equation. Calculate 10 to the power of 3 and get 1000.

$$2\times 1000\times 100x=4\times 6\times 10^{6}$$

Multiply 2 and 1000 to get 2000.

$$2000\times 100x=4\times 6\times 10^{6}$$

Multiply 2000 and 100 to get 200000.

$$200000x=4\times 6\times 10^{6}$$

Multiply 4 and 6 to get 24.

$$200000x=24\times 10^{6}$$

Calculate 10 to the power of 6 and get 1000000.

$$200000x=24\times 1000000$$

Multiply 24 and 1000000 to get 24000000.

$$200000x=24000000$$

Divide both sides by 200000.

$$x=\frac{24000000}{200000}$$

Divide 24000000 by 200000 to get 120.

$$x=120$$

The system is now solved.

$$x=120 y=4 z=4$$