Firstly you are finding the intersect of 2 planes, that will only ever give you a line at best.
([br]9−10734400[br])
Convert to RREF
([br]1001−9716977600[br])
a−9716c=0 b−9776c=0
a=9716c b=−9776c
The fact that they both equal zero makes it a lot easier, since we can just take 0,0,0 as the fist point.
Since c is the free variable, let c = 97 a = 16, b = -76
So the solution is the line:
Unparseable latex formula:
\left(\begin{array}{n} a \\ b \\ c \end{array}\right) = t \left(\begin{array}{c} 16 \\ -76 \\ 97 \end{array}\right)
Edit, you could pick any value for c, it doesn't matter since you are multiplying by the variable t. I only picked 97 to remove the fractions and make it look nicer.