Chapter 6.1, Problem 5CYU

To determine

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

Answer to Problem 5CYU

The given system of function $x-y=-3\iff y=x+3$ and $y=-3x+1$ is consistent and independent.

Explanation of Solution

Given information:

It is given in the question that, the given functions are $x-y=-3\iff y=x+3$ and $y=-3x+1$ .

And the graph is:

The given system of function $x-y=-3\iff y=x+3$ and $y=-3x+1$ is consistent, because the graph of the given function touches the lines shows in the above graph,

And it is independent because, they intersect at one point.