We must find the solution of the following system of equations:
[tex]\begin{gathered} x+y=1, \\ y=-\frac{1}{6}x-4. \end{gathered}[/tex]
First, we rewrite the first equation:
[tex]\begin{gathered} y=1-x, \\ y=-\frac{1}{6}x-4. \end{gathered}[/tex]
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:
[tex](6,-5)\text{.}[/tex]
Answer
The solution of the system of equations is (x, y) = (6,-5).
