SOLUTION: Which of the following circles would show the locus of points in a plane 1 unit from the intersection of the lines x + y = 2 and x - y = 4? a. center (4,2), radius = 1 b. cen

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Question 320677: Which of the following circles would show the locus of points in a plane 1 unit from the intersection of the lines x + y = 2 and x - y = 4?
a. center (4,2), radius = 1
b. center (3,-1), radius = 1
c. center (3,1), radius = 1
d. center (0,0), radius = 1

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let solve for the intersection point.
1.x+%2B+y+=+2
2.x+-+y+=+4
Add the equations together,
x%2By%2Bx-y=6
2x=6
highlight%28x=3%29
Then use either equation to find y.
x%2By=2
3%2By=2
highlight%28y=-1%29
.
.
.
b) is the correct answer.