SOLUTION: 5x-5y=20 5y-5x=-20 solve the system of equtions by graphing. then classify the system as consistent or inconsistent and dependent or independent.

Algebra ->  Graphs -> SOLUTION: 5x-5y=20 5y-5x=-20 solve the system of equtions by graphing. then classify the system as consistent or inconsistent and dependent or independent.      Log On


   

Question 254671: 5x-5y=20
5y-5x=-20
solve the system of equtions by graphing. then classify the system as consistent or inconsistent and dependent or independent.
Found 2 solutions by drk, stanbon:
Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
Here are teh 2 equations.
(i) 5x-5y=20
(ii) 5y-5x=-20
Solve each for y to get
(iii) y = x - 4
(iv) y = x + 4
Now we graph to get an inconsistent, independent set of functions because they do not cross.
+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+x-4%2C+x%2B4%29+

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
5x-5y=20
5y-5x=-20
solve the system of equtions by graphing.
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Solve each equation for "y":
1st:
5x-5y=20
x-y = 4
y = x-4
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2nd:
5y-5x=-20
y-x = -4
y = x-4
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The two equations are the same so their graphs are the same line.
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx-4%29
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Solution: All points of the form (x,x-4) where x is any Real Number.
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The system is described as being "dependent".
Cheers,
Stan H.