SOLUTION: Please solve by graphing. Indicate whether each system is independent, inconsistent, or dependent. Thanks. 1. 3x - y = 4 3x - y = 0

Algebra ->  Expressions-with-variables -> SOLUTION: Please solve by graphing. Indicate whether each system is independent, inconsistent, or dependent. Thanks. 1. 3x - y = 4 3x - y = 0      Log On


   

Question 39083: Please solve by graphing. Indicate whether each system is independent, inconsistent, or dependent. Thanks.
1. 3x - y = 4
3x - y = 0
Answer by mbarugel(146) About Me  (Show Source):
You can put this solution on YOUR website!
Hello!
In order to solve this system by graphing, let's first write both equations with y as a function of x:
The system becomes:
system%28y=3x-4%2Cy=3x%29
Clearly, this is an INCONSISTENT system. Notice that the two lines are parallel to each other, because they have exactly the same slope, so they never cross each other. Graphically, it looks like this:
graph%28200%2C200%2C-10%2C10%2C-10%2C10%2C3x-4%2C3x%29
(the red line is 3x-4, the green one is 3x)
Since this is an inconsistent system, it has no solution.

I hope this helps!
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