Solve {l}{b_{1}=1/2}{b_{2}=1/4}{q=frac{b_{2}}{b_{1}}}

$$\left. \begin{array} { l } { b _ { 1 } = \frac { 1 } { 2 } } \\ { b _ { 2 } = \frac { 1 } { 4 } } \\ { q = \frac { b _ { 2 } } { b _ { 1 } } } \end{array} \right.$$

Solve for b_1, b_2, q

$$b_{1}=\frac{1}{2}=0.5$$

$$b_{2}=\frac{1}{4}=0.25$$

$$q=\frac{1}{2}=0.5$$

Solution Steps

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

$$q=\frac{\frac{1}{4}}{\frac{1}{2}}$$

Divide \frac{1}{4} by \frac{1}{2} by multiplying \frac{1}{4} by the reciprocal of \frac{1}{2}.

$$q=\frac{1}{4}\times 2$$

Multiply \frac{1}{4} and 2 to get \frac{1}{2}.

$$q=\frac{1}{2}$$

The system is now solved.

$$b_{1}=\frac{1}{2} b_{2}=\frac{1}{4} q=\frac{1}{2}$$