Solve {l}{100f=27.272727}{g=-f-0.272727}{text{Solvefor}htext{where}}{h=g}

$$\left. \begin{array} { l } { 100 f = 27.272727 }\\ { g = -f - 0.272727 }\\ { \text{Solve for } h \text{ where} } \\ { h = g } \end{array} \right.$$

Solve for f, g, h

$$h=-0.54545427$$

Solution Steps

Consider the first equation. Divide both sides by 100.

$$f=\frac{27.272727}{100}$$

Expand \frac{27.272727}{100} by multiplying both numerator and the denominator by 1000000.

$$f=\frac{27272727}{100000000}$$

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

$$g=-\frac{27272727}{100000000}-0.272727$$

Subtract 0.272727 from -\frac{27272727}{100000000} to get -\frac{54545427}{100000000}.

$$g=-\frac{54545427}{100000000}$$

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

$$h=-\frac{54545427}{100000000}$$

The system is now solved.

$$f=\frac{27272727}{100000000} g=-\frac{54545427}{100000000} h=-\frac{54545427}{100000000}$$