Chapter 8.10, Problem 9PPS

To determine

The solution of system equations $\begin{array}{l}y=x\\ y=-x+4\end{array}$ is to be calculated by using the graphing method.

Answer to Problem 9PPS

The graphing solution for system of equation $\begin{array}{l}y=x\\ y=-x+4\end{array}$ is $\left(2,2\right)$

  

Explanation of Solution

Given:

Two equations are as:

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

The equations are:

  $y=x$  .... (1)

  $y=-x+4$  .... (2)

Now, draw graph of both equations as:

  

Form graph:

The point of the intersection of the system of two equations is $\left(2,2\right)$ which nothing but the solution of the graphing equations is.

Conclusion:

So, the solution of the system of eqns. is $\left(2,2\right)$