Question

Solve a System of Linear Equations by Graphing In the following exercises, solve the following systems of equations by graphing.

$$\begin{gathered} -x+2y=-6 \\ y=-\frac{1}{2}x-1 \end{gathered}$$

Short answer

The solution is$x=2,y=-2$.

Step-by-step solution

Given 

The given equations are:

$$\begin{gathered} -x+2y=-6 \\ y=-\frac{1}{2}x-1 \end{gathered}$$

To determine 

We have to solve the given system of equations by graphing.

Calculation 

The graphs are as follows:

From the graph, we see that the lines intersect at $\left(2,-2\right)$. Hence the solution is$x=2,y=-2$.