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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

Verified Answer :

texaschic101
  1. inconsistent...because these lines are parallel

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

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

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.


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