$A=\left[\begin{array}{ccc}0& -5& -35\\ -3& 5& 53\\ 3& 4& 10\end{array}\right]$ and $b=\left[\begin{array}{c}15\\ -3\\ -24\end{array}\right]$

There are infinitely many solutions. The general solution is

$x=-4+1,y=,-7t,z=t$

Fill in the blanks. Hint you do not need to write down the augmented matrix and transform it to reduced row echelon form.