Solve {l}{x=-1}{y=8+16x^-3}{z=y}{a=z}{text{Solvefor}btext{where}}{b=a}

$$\left. \begin{array} { l } { x = -1 }\\ { y = 8 + 16 x ^ {-3} }\\ { z = y }\\ { a = z }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

Solve for x, y, z, a, b

$$b=-8$$

Solution Steps

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

$$y=8+16\left(-1\right)^{-3}$$

Calculate -1 to the power of -3 and get -1.

$$y=8+16\left(-1\right)$$

Multiply 16 and -1 to get -16.

$$y=8-16$$

Subtract 16 from 8 to get -8.

$$y=-8$$

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

$$z=-8$$

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

$$a=-8$$

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

$$b=-8$$

The system is now solved.

$$x=-1 y=-8 z=-8 a=-8 b=-8$$