Chapter 8.10, Problem 12PPS

To determine

The solution of system equations $y=\frac{1}{2}x+1,y=\frac{1}{2}x-2$ is to be calculated by using the graphing method.

Answer to Problem 12PPS

The graphing solution for system of equation $y=\frac{1}{2}x+1,y=\frac{1}{2}x-2$

  

Explanation of Solution

Given:

Two equations are as:

  $\begin{array}{l}y=\frac{1}{2}x+1\\ y=\frac{1}{2}x-2\end{array}$

The equations are:

  $y=\frac{1}{2}x+1$....... (1)

  $y=\frac{1}{2}x-2$....... (2)

Now, draw graph of both equations as:

  

The point of intersection of two equations is $\left(-5,-1.5\right)$ which nothing but solution of the graphing eq. is

Conclusion:

So, the solution of the system of eqns. is $\left(-3,0\right)$