SOLUTION: Solving Systems of Linear Equations by the Substitution Method. I am having a difficult time understanding how to do this. I was hoping someone could help me. The problem is:

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: Solving Systems of Linear Equations by the Substitution Method. I am having a difficult time understanding how to do this. I was hoping someone could help me. The problem is:      Log On


   

Question 135395This question is from textbook Essentials of Elementary Algebra
: Solving Systems of Linear Equations by the Substitution Method.
I am having a difficult time understanding how to do this. I was hoping someone could help me.
The problem is: y=4-3x 3x+y=5

But I am not sure where to go after that.
Will you please help me understand this? Thank you! This question is from textbook Essentials of Elementary Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The problem is:
y=4-3x
3x+y=5
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Substitute 1st into 2nd to get:
3x+4-3x = 5
4 = 5
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That is a contradiction which resulted from thinking
that the variables in one equation were the same as
the variables in the other.
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The system is "inconsistent"; it has no solution
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If you graphed the two equation you would get
parallel lines, which share no (x,y) point.
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Cheers,
Stan H.