Chapter 8.9, Problem 46E

To determine

To solve:

The given linear system of equations by graphing.

Answer to Problem 46E

The solution for given system of equations would be $(2,-4)$ .

Explanation of Solution

Given:

A system of equations:

  $\begin{array}{l}x+y=-2\\ 2x+y=0\end{array}$

Calculation:

First of all, we will graph our given system of equations. We can see that both equations are in slope-intercept form.

Upon graphing both equations, we will get our required graph as shown below:

  

Upon looking at our graph, we can see that both lines intersect at point $(2,-4)$ . Therefore, the solution for given system of equations would be $(2,-4)$ .