SOLUTION: #1. Find a point on the line 2x + y = 8 that is equidistant from the coordinate axes. How many such points are there?

Question 146809: #1. Find a point on the line 2x + y = 8 that is equidistant from the coordinate axes. How many such points are there?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The statement "equidistant from the coordinate axes" means that the distances from the point to the x and y axes are the same. The only time that the distances from a certain point to both axes are the same is when the x coordinate equals the y coordinate (in other words, when )

Start with the given equation

Plug in

Combine like terms on the left side.

Divide both sides by to isolate .

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Answer:

So the answer is (which also means that )

So the only point that is equidistant from the coordinate axes that lies on the line is

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