Solve f(x)=1/2x+5text{when}x=6

$$f ( x ) = \frac { 1 } { 2 } x + 5 \text { when } x = 6$$

Solve for f, x

$$x=6$$

$$f = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

Solution Steps

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

$$f\times 6=\frac{1}{2}\times 6+5$$

Multiply \frac{1}{2} and 6 to get 3.

$$f\times 6=3+5$$

Add 3 and 5 to get 8.

$$f\times 6=8$$

Divide both sides by 6.

$$f=\frac{8}{6}$$

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

$$f=\frac{4}{3}$$

The system is now solved.

$$f=\frac{4}{3} x=6$$