Looks like a pretty regular system, no parallel lines. In fact the second equation is a vertical line as written; not sure if that's a typo. Either way,
Imagine there are 4 sits for fill for the debate team we can fill the first sit in 35 different ways, second sit we only have 34 choices , third sit 33 and last sit 32 ways to possible fill it. 35·34·33·32=1,256,640 possible ways the team could be form