Solve {l}{x=6}{y=6+9(x-2)^2}{text{Solvefor}ztext{where}}{z=y}

$$\left. \begin{array} { l } { x = 6 }\\ { y = 6 + 9 {(x - 2)} ^ {2} }\\ { \text{Solve for } z \text{ where} } \\ { z = y } \end{array} \right.$$

Solve for x, y, z

$$z=150$$

Solution Steps

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

$$y=6+9\left(6-2\right)^{2}$$

Subtract 2 from 6 to get 4.

$$y=6+9\times 4^{2}$$

Calculate 4 to the power of 2 and get 16.

$$y=6+9\times 16$$

Multiply 9 and 16 to get 144.

$$y=6+144$$

Add 6 and 144 to get 150.

$$y=150$$

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

$$z=150$$

The system is now solved.

$$x=6 y=150 z=150$$