Chapter 8.10, Problem 3AGP

To determine

The solution of the $y=x$ and $y=x+4$ by using the graphing method

Answer to Problem 3AGP

The set of eqns. $y=x$ and $y=x+4$ has no solution.

Explanation of Solution

Given:

The two eqn are as:

  $\begin{array}{l}y=x\\ y=x+4\end{array}$

Calculation:

The two eqns. are described as:

  $y=x$..........(1)

  $y=x+4$..........(2)

Now, draw graph of both equations as:

  

There is no point of intersection of two equations because both line equations are parallel to each other. Or they are non-coincident.

So, there is no solution for graphing eq.

Conclusion:

Therefore, there is no solution for graphing eq.