Solve {l}{f{(2)}=13}{g=f{(5)}}{text{Solvefor}htext{where}}{h=g}

$$\left. \begin{array} { l } { f {(2)} = 13 }\\ { g = f {(5)} }\\ { \text{Solve for } h \text{ where} } \\ { h = g } \end{array} \right.$$

Solve for f, g, h

$$h = \frac{65}{2} = 32\frac{1}{2} = 32.5$$

Solution Steps

Consider the first equation. Divide both sides by 2.

$$f=\frac{13}{2}$$

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

$$g=\frac{13}{2}\times 5$$

Multiply \frac{13}{2} and 5 to get \frac{65}{2}.

$$g=\frac{65}{2}$$

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

$$h=\frac{65}{2}$$

The system is now solved.

$$f=\frac{13}{2} g=\frac{65}{2} h=\frac{65}{2}$$