Hi, Sry, can't help with the tables referenced...however:
Solving the following systems by elimination:
X+Y=9
X+2Y=13
-X-Y= -9 |multiplying 1st Eq thru by -1, adding to eliminate X
X+2Y=13
Y = 4 and X = 5
3X+7Y=24
9X+5Y=24
-9X-21Y=-72 |multiplying 1st Eq thru by -3, adding to eliminate X
9X+5Y = 24
-16Y =-48
Y = 3 and X = 1
4X+Y=17
2X+3Y=21
4X+Y=17
-4X-6Y=-42 |multiplying 2nd Eq thru by -2, adding to eliminate X
-5Y = -25
Y = 5 X = 3 (4X = 12 from 1st Eq)
18X+Y=42
6X-3Y=-6
18X +Y=42
-18X+9Y=18 |multiplying 2nd Eq thru by -3, adding to eliminate X
10Y = 60
Y = 6 and X = 2 (18X = 36 from 1st Eq)
X+Y=5
X+Y+2Z=5 Z = 0 |as X + Y = 5
X+3Y+Z=11
X +Y = 5
-X -3Y = -11 |multiplying 3rd Eq thru by -1, adding to 1st Eq to eliminate X
-2Y = -6
Y = 3 and X = 2
7) with the same solution as #5 |Eqs are multiples of one another
6) X = 2 Y = 5 Z = 0
Wishing You ALL the best!