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Find an ordered pair (x,y) that is a solution to the equation -x+6y=2

User Aljoscha
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1 Answer

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Answer: (-2, 0)

Step-by-step explanation:

Let's replace y with 0 and solve for x.

-x+6y = 2

-x+6*0 = 2

-x + 0 = 2

-x = 2

x = -2

We have x = -2 pair up with y = 0 to get the ordered pair (x,y) = (-2,0)

This is the x intercept of the graph. It's where the line crosses the x axis. You can use a tool like Desmos or GeoGebra to confirm.

Since we have infinitely many numbers to replace x or y with, we have infinitely many solution points on this line.

Each point is of the form (-2+6k, k) where k is any real number. If k = 0, then it leads to (-2,0) found earlier.

User Avrelian
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