Chapter 6.1, Problem 37PPS

To determine

Draw the graph of the given equation and also find the number of solutions it has, if it has one solution then mention it.

Explanation of Solution

Given information:

It is given in the question that,

The given equations are: $3y-x=-2$ and $y-\frac{1}{3}x=2$ .

Graph:

Interpretation:

By putting the value of given functions in the graphic calculator the above graph is obtained in which,

Red line shows the graph of $3y-x=-2$ ,

Blue line shows the graph of $y-\frac{1}{3}x=2$ .

It has no solution, because the graphs of the given functions are parallel.