Answered

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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.

Sagot :

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).

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