SOLUTION: Classify each system of equation as independent, dependent, or inconsistent. Solve independent systems by graphing. 1+y=x x+y=1

Algebra ->  Rational-functions -> SOLUTION: Classify each system of equation as independent, dependent, or inconsistent. Solve independent systems by graphing. 1+y=x x+y=1      Log On


   

Question 408152: Classify each system of equation as independent, dependent, or inconsistent. Solve independent systems by graphing.
1+y=x
x+y=1
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Get in the form y+=+mx+%2B+b
1+%2B+y+=+x
subtract 1 from both sides
(1) y+=+x+-+1
and
x+%2B+y+=+1
subtract x from both sides
(2) y+=+-x+%2B+1
These have different slopes, so they must be independent
Here's the plot:
+graph%28+400%2C+400%2C+-10%2C+10%2C+-10%2C+10%2C+x+-+1%2C+-x+%2B+1%29+