Solve {l}{x=4}{y=5*10^-8}{z=y}{a=z}{b=a}{text{Solvefor}ctext{where}}{c=b}

$$\left. \begin{array} { l } { x = 4 }\\ { y = 5 \cdot 10 ^ {-8} }\\ { z = y }\\ { a = z }\\ { b = a }\\ { \text{Solve for } c \text{ where} } \\ { c = b } \end{array} \right.$$

Solve for x, y, z, a, b, c

$$c=\frac{1}{20000000}=0.00000005$$

Solution Steps

Consider the second equation. Calculate 10 to the power of -8 and get \frac{1}{100000000}.

$$y=5\times \frac{1}{100000000}$$

Multiply 5 and \frac{1}{100000000} to get \frac{1}{20000000}.

$$y=\frac{1}{20000000}$$

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

$$z=\frac{1}{20000000}$$

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

$$a=\frac{1}{20000000}$$

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

$$b=\frac{1}{20000000}$$

Consider the equation (6). Insert the known values of variables into the equation.

$$c=\frac{1}{20000000}$$

The system is now solved.

$$x=4 y=\frac{1}{20000000} z=\frac{1}{20000000} a=\frac{1}{20000000} b=\frac{1}{20000000} c=\frac{1}{20000000}$$