Solve {l}{9f=1/2{(12f-2)}}{g=f}{text{Solvefor}htext{where}}{h=g}

$$\left. \begin{array} { l } { 9 f = \frac{1}{2} {(12 f - 2)} }\\ { g = f }\\ { \text{Solve for } h \text{ where} } \\ { h = g } \end{array} \right.$$

Solve for f, g, h

$$h=-\frac{1}{3}\approx -0.333333333$$

Solution Steps

Consider the first equation. Use the distributive property to multiply \frac{1}{2} by 12f-2.

$$9f=6f-1$$

Subtract 6f from both sides.

$$9f-6f=-1$$

Combine 9f and -6f to get 3f.

$$3f=-1$$

Divide both sides by 3.

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

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

$$g=-\frac{1}{3}$$

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

$$h=-\frac{1}{3}$$

The system is now solved.

$$f=-\frac{1}{3} g=-\frac{1}{3} h=-\frac{1}{3}$$