Question

What are the classifications of each system?
Match the answer into the box to match each system

{ x + 5y = -2
{ x + 5y = 4

{ y = 3x + 4
{ -2x + y = 4

{ y = -x + 3
{ 2x + 2y = 6

Match these with the equations

A)Consistent Independent

B)Coincident

C)Inconsistent

Answer 1

1. inconsistent...because these lines are parallel

2. consistent,independent....because there will be one solution

3. coincident...because this is the same line

Answer 2

Simple...

for: x+5y=-2
      x+5y=4

It's No Solution so it would be Inconsistent.

For: y=3x+4
          -2x+y=4

If you Substitute you will get (0,4) <<this is its Point of Intersection so it would be Consistent Independent.

For: y=-x+3
       2x+2y==6

If you Substitute you will get (x,-x+3). Now this may look weird..but the lines are on each other! Resulting in this being Coincident.

Thus, your answer.