SOLUTION: Classify each system. Give the number of solutions. {y=-x+5 {x+y=5

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Question 120754: Classify each system. Give the number of solutions.
{y=-x+5
{x+y=5

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
{y=-x+5
{x+y=5

In the first equation, add +X to each side, and you get x+y =5. This is exactly the same as the second equation, so the solution is the entire line. The system is said to be "dependent," and there are infinitely many solutions.

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