Solve {l}{6*10^-17=x}{y=5}{z=2x}{text{Solvefor}a,btext{where}}{a=y}{b=z}

$$\left. \begin{array} { l } { 6 \cdot 10 ^ {-17} = x }\\ { y = 5 }\\ { z = 2 x }\\ { \text{Solve for } a,b \text{ where} } \\ { a = y }\\ { b = z } \end{array} \right.$$

Solve for x, y, z, a, b

$$a=5$$

$$b=\frac{3}{25000000000000000}=1.2 \cdot 10^{-16}$$

Solution Steps

Consider the first equation. Calculate 10 to the power of -17 and get \frac{1}{100000000000000000}.

$$6\times \frac{1}{100000000000000000}=x$$

Multiply 6 and \frac{1}{100000000000000000} to get \frac{3}{50000000000000000}.

$$\frac{3}{50000000000000000}=x$$

Swap sides so that all variable terms are on the left hand side.

$$x=\frac{3}{50000000000000000}$$

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

$$z=2\times \frac{3}{50000000000000000}$$

Multiply 2 and \frac{3}{50000000000000000} to get \frac{3}{25000000000000000}.

$$z=\frac{3}{25000000000000000}$$

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

$$b=\frac{3}{25000000000000000}$$

The system is now solved.

$$x=\frac{3}{50000000000000000} y=5 z=\frac{3}{25000000000000000} a=5 b=\frac{3}{25000000000000000}$$