SOLUTION: If for two linear equations f(x) = k and g(x) = -f(x), what can be said about the system of equations f(x) and g(x)? A. They are consistent. B. They are dependent. C. They

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: If for two linear equations f(x) = k and g(x) = -f(x), what can be said about the system of equations f(x) and g(x)? A. They are consistent. B. They are dependent. C. They      Log On

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Question 82924: If for two linear equations f(x) = k and g(x) = -f(x), what can be said about the system of equations f(x) and g(x)?
A. They are consistent.
B. They are dependent.
C. They are inconsistent.
D. Insufficient information.
Answer by jim_thompson5910(28715) About Me  (Show Source):
You can put this solution on YOUR website!
Lets say you let k=5, then f(x)=3. Since g(x)=-f(x), this means g(x)=-3 (the opposite of f(x)). So if we graph the two equations we get:

+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+3%2C-3%29+ graph of y=3 and y=-3

From this we can see that since these two lines are parallel, they will never intersect. So they are inconsistent.