Chapter 6.1, Problem 38PPS

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: $\frac{8}{5}x=\frac{2}{5}y+1$ and $\frac{2}{5}y=\frac{1}{10}x+\frac{1}{4}$ .

Graph:

Interpretation:

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

Blue line shows the graphs of $\frac{8}{5}x=\frac{2}{5}y+1$ and $\frac{2}{5}y=\frac{1}{10}x+\frac{1}{4}$ .

It has $\infty$ solution, because the graphs of both linear equations are coincident.