@2: x+2y+1=0 and xy-y=0
here use the first equation and make it x=-2y-1
pluck into the other equation and you get
(-2y-1)y-y=0 -> -2y^2-y-y=0 -> -2y^2-2y=0 -> (divide -2) -> y^2+y=0 -> (y+1)y=0
so the two solutions are
y=-1, x=1 and y=0, x=-1
@5: (n+1)!/(2n) for n=1,2,3,4
(1+1)!/(2.1)=2!/2=2/2=1
(2+1)!/(2.2)=3!/4=6/4=3/2
(3+1)!/(2.3)=4!/6=24/6=4
(4+1)!/(2.5)=5!/8=120/8=15
@10: true, it's just 'renaming' n into k
@11: since all the variables are difference and there are (two different)(six different)(four different) there will be
2.6.4 different term, ie 48 terms
and since those terms come from three different sets each, each term will have 3 factors
This post was edited by brmv on Dec 28 2013 08:05pm