Solve {l}{5*x=10*2}{y=5*{(5x^3)}(2x)^2}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { 5 \cdot x = 10 \cdot 2 }\\ { y = 5 \cdot {(5 x ^ {3})} {(2 x)} ^ {2} }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=102400$$

Solution Steps

Consider the first equation. Multiply 10 and 2 to get 20.

$$5x=20$$

Divide both sides by 5.

$$x=\frac{20}{5}$$

Divide 20 by 5 to get 4.

$$x=4$$

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

$$y=5\times 5\times 4^{3}\times \left(2\times 4\right)^{2}$$

Multiply 5 and 5 to get 25.

$$y=25\times 4^{3}\times \left(2\times 4\right)^{2}$$

Calculate 4 to the power of 3 and get 64.

$$y=25\times 64\times \left(2\times 4\right)^{2}$$

Multiply 25 and 64 to get 1600.

$$y=1600\times \left(2\times 4\right)^{2}$$

Multiply 2 and 4 to get 8.

$$y=1600\times 8^{2}$$

Calculate 8 to the power of 2 and get 64.

$$y=1600\times 64$$

Multiply 1600 and 64 to get 102400.

$$y=102400$$

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

$$z=102400$$

The system is now solved.

$$x=4 y=102400 z=102400$$