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Question 105743: Solve the following system of equations
2x+y=1
y=1-2x
Answer by bucky(2189)   (Show Source):
You can put this solution on YOUR website! This is a "trick" problem to see how observant you are ... You are given the two equations:
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2x+y=1
y=1-2x
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Let's rearrange the bottom equation by adding 2x to both sides. When you do that the bottom
equation becomes 2x+y = 1. But that is identical to the top equation. Therefore, the bottom
equation and the top equation are identical. Every solution for the top equation is a solution
for the bottom equation also. They are not independent equations and therefore they do
not have a single, unique solution.
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Hope this helps you to see your way through the problem and why the answer is what it is ...
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