$($MATLAB$)$ This problem illustrates some of the different ways that MATLAB displays numbers using the format long, the format short and the format rational commands.

Use MATLAB to solve the following system of equations

$2x_1-4\mathrm{.}5x_2+3\mathrm{.}1x_3=4\mathrm{.}2$

$x_1+x_2+x_3=-5\mathrm{.}1$

$x_1-6\mathrm{.}2x_2+x_3=1\mathrm{.}3$

You may change the format of your answer in MATLAB. For example, to print your result with an accuracy of $15$ digits type format long and redisplay the answer. Similarly, to print your result as fractions type format rational and redisplay your answer.