Determine if the system

$$\begin{array}{rcrcrcr}15 x_1 & + & x_{2} & + & 7 x_{3} & = & 18 \\4 x_1 & - & 15 x_{2} & - & 10 x_{3} & = & -12 \\7 x_1 & - & 6 x_{2} & + & 14 x_{3} & = & -1\end{array}$$

is diagonally dominant. If the system is already diagonally dominant, then copy exactly the equations as given. If not, then rewrite the system so that it is diagonally dominant. If it is not possible, then also copy exactly the equations as given. Use x1, x2, and x3 to enter the variables $x_1$, $x_2$, and $x_3$.

Diagonally dominant? select yes no

Rewrite to be diagonally dominant if possible, otherwise copy exactly the given equations:
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