Chapter EP, Problem 3.1.10EP

To determine

Graph each system of equations and describe it as consistent and independent, consistent or dependent, or inconsistent.

Answer to Problem 3.1.10EP

The graph created by system of equation $9x-5=7y$ and $4.5x-3.5y=2.5$ is “Consistent and Dependent”.

Explanation of Solution

Given information:

The given equations are:

  $\begin{array}{l}9x-5=7y\\ 4.5x-3.5y=2.5\end{array}$

Now let us plot graph for the equations $9x-5=7y$ and $4.5x-3.5y=2.5$ to describe the relation between them:

As we can see from the above graph that both the equation $9x-5=7y$ and $4.5x-3.5y=2.5$ is plotting lines which are coincident to each other, therefore the lines are “Consistent and Dependent”.