SOLUTION: State whether the system is consistent and independent, consistent and dependent, or inconsistent. Tell why. system is 2y + 4x = 8 and y + 2x = 1

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Question 59812This question is from textbook Alebgra Concepts and Applications
: State whether the system is consistent and independent, consistent and dependent, or inconsistent. Tell why.
system is 2y + 4x = 8
and
y + 2x = 1
This question is from textbook Alebgra Concepts and Applications

Answer by askmemath(368) (Show Source):
You can put this solution on YOUR website!
2y + 4x = 8
y + 2x = 1
Multiplying with 2
2y+4x = 2
You will notice that is very similar to except that in the first equation the sum adds up to 8
and in the third equation the sum adds up to 2
How is that possible??
It isnt!!
So the system is Inconsistent!!
Alternatively, subtract from
2y + 4x = 8
2y + 4x = 4
0 = 4 which is not possible. So you can say the system in Inconsistent.