SOLUTION: Solve the following system of equations 2x+y=1 y=1-2x

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:
.
2x+y=1
y=1-2x
.
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.
.
Hope this helps you to see your way through the problem and why the answer is what it is ...
.
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