onsider the linear system

$2$x$1+3$x$25$x$3=$ b$1$

$7$x$1+2$x$2+8$x$3=$ b$2$

$$x$1+$ x$25$x$3=$ b$3$

$($a$)$ Find the echelon form of the augmented matrix of the above system.

$($b$)$ Find the conditions on b$1,$ b$2,$ b$3$ for which this system has a solution.

$($c$)$ Do you see the shape of the points $($b$1,$ b$2,$ b$3)$ for which the above system has a

solution?