Solve f(x)=x-8/3x-4text{and}x=2

$$f ( x ) = \frac { x - 8 } { 3 x - 4 } \text { and } x = 2$$

Solve for f, x

$$x=2$$

$$f = -\frac{3}{2} = -1\frac{1}{2} = -1.5$$

Solution Steps

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

$$f\times 2=\frac{2-8}{3\times 2-4}$$

Subtract 8 from 2 to get -6.

$$f\times 2=\frac{-6}{3\times 2-4}$$

Multiply 3 and 2 to get 6.

$$f\times 2=\frac{-6}{6-4}$$

Subtract 4 from 6 to get 2.

$$f\times 2=\frac{-6}{2}$$

Divide -6 by 2 to get -3.

$$f\times 2=-3$$

Divide both sides by 2.

$$f=-\frac{3}{2}$$

The system is now solved.

$$f=-\frac{3}{2} x=2$$