Chapter 6.1, Problem 14PPS

To determine

Find whether the given system of function(s) is consistent or inconsistent and whether it is independent or dependent.

Answer to Problem 14PPS

The given system of function $3x-y=-4$ and $y=3x+4\iff 3x-y=-4$ is consistent and dependent.

Explanation of Solution

Given information:

It is given in the question that, the given functions are $3x-y=-4$ and $y=3x+4\iff 3x-y=-4$ .

And the graph is:

The given system of function $3x-y=-4$ and $y=3x+4\iff 3x-y=-4$ is consistent, because the graph of the given function represent the same line shows in the above graph,

And it is dependent because, the system of line represent the same line that’s why both lines are dependent to each other.