Solve {l}{4{(0.5f-0.25)}=6+f}{g=f}{text{Solvefor}htext{where}}{h=g}

$$\left. \begin{array} { l } { 4 {(0.5 f - 0.25)} = 6 + f }\\ { g = f }\\ { \text{Solve for } h \text{ where} } \\ { h = g } \end{array} \right.$$

Solve for f, g, h

$$h=7$$

Solution Steps

Consider the first equation. Use the distributive property to multiply 4 by 0.5f-0.25.

$$2f-1=6+f$$

Subtract f from both sides.

$$2f-1-f=6$$

Combine 2f and -f to get f.

$$f-1=6$$

Add 1 to both sides.

$$f=6+1$$

Add 6 and 1 to get 7.

$$f=7$$

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

$$g=7$$

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

$$h=7$$

The system is now solved.

$$f=7 g=7 h=7$$