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