Question

Solve this system of equations by graphing. First graph the equations, and then type the solution.x+y=1y=–1/6x–4Click to select points on the graph.

Answer 1

We must find the solution of the following system of equations:

`\begin{gathered} x+y=1, \\ y=-(1)/(6)x-4. \end{gathered}`

First, we rewrite the first equation:

`\begin{gathered} y=1-x, \\ y=-(1)/(6)x-4. \end{gathered}`

Plotting each function, we get:

The solution of the system of equations is the point of intersection of the two curves. From the graph, we see that the point of intersection is:

`(6,-5)\text{.}`

Answer

The solution of the system of equations is (x, y) = (6,-5).