independent means the equations are differnt
dependent means that they have infinite solutions aka they are the same line
consistiant means it has at leas 1 soltuion
inconsistent means tat they do not intersect at all
solve each
1. 6x-1.5=-6x+1.5
12x=3
x=0.25
y=6(0.25)-1.5
y=1.5-1.5
y=0
(1/4,0)
consistant and independent
2.
-2x-6y=12
2x+6y=3 +
0=15
false
independent and inconsistint
3.
if we muliply the first equation by 3, we get that they are the same equation meaning
dependent and consistent
1.C
2. A
3. B
