Look at the tables of values for the two equations in a linear system. From this limited number of ordered pairs, what can you conclude about the system?

First Table:
X Y
-2,5
-1,3
0,1
1,-1

Second Table:
X Y
0,1
1,-1
2,-3
3,-5

The system has 0 solutions.
The system has 1 solution.
The system has 2 solutions.
The system has infinitely many solutions.

Question

Look at the tables of values for the two equations in a linear system. From this limited number of ordered pairs, what can you conclude about the system?

First Table:
 X   Y
-2,5
-1,3
  0,1
  1,-1

Second Table:
 X  Y
 0,1
 1,-1
 2,-3
 3,-5

The system has 0 solutions.
The system has 1 solution.
The system has 2 solutions.
The system has infinitely many solutions.

bahrom7893 · Answer

figure out the equation of each line and set the y values equal to each other

anonymous · Answer

Can't you just give me the answer :-)

amistre64 · Answer

being a study group, its advisable for you to participate in finding an answer.

anonymous · Answer

Okay so then do you know the equations so I can find the answer?

amistre64 · Answer

looks like the first one has a slope of -2; since for every 1 increase in x we get a -2 in y

amistre64 · Answer

in table 2, as x moves from 0 to 1, how does y move?

amistre64 · Answer

to get from 0,1  to 1,-1

how does the y value move?

amistre64 · Answer

a simpler idea might be to recognize the the systems are said to be linear; such systems either have all points, no points, or 1 point in common; these have at least 2 points so they are infact the same line and are infinitely joined

anonymous · Answer

Okay so they have infinitely many solutions :-)