The matrix $$\left[\begin{array}{ccccc} 9 &2 &0 &-2 &9\cr 10 &-1 &5 &-2 &-9\cr 8 &2 &7 &-4 &-6 \end{array}\right]$$ is the augmented matrix for a linear system of equations of the form   $A \begin{pmatrix} x_1\\x_2\\x_3\\x_4 \end{pmatrix}=\begin{pmatrix} b_1 \\ b_2 \\ b_3 \end{pmatrix}$.   Use a calculator or computer to perform the row operations needed to transform the matrix into reduced echelon form. Then determine if the system is consistent. If it is, use the reduced echelon form to find all solutions of the system.

Reduced echelon form: $\left[\Rule{0pt}{3.6em}{0pt}\right.$$\left]\Rule{0pt}{3.6em}{0pt}\right.$

Is the system consistent? select yes no

Solution: $(x_1,x_2,x_3,x_4) = \bigg($ , , , $\bigg)$

Help: If there is one free variable in the solution call it $s$. If there are multiple free variables call them $s, t, u, \ldots$. If the system is inconsistent, do not type anything in the "Solution" answer blanks.