Question 173010
Ariyone claims that 3,6 is the point of intersection of the lines y= 4x-2 and y=1/2x+5. is he correct. How do you know? 
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The claim is, given two lines:
y= 4x-2
y=1/2x+5
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It intersects at (x,y)=(3,6)
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plugging the point into:
y= 4x-2
6= 4(3)-2
6= 12-2
6= 10 (false)
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plugging the point into:
y=1/2x+5
6=1/2(3)+5
6=3/2+5
6=3/2+10/2
6=13/2 (false)
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So, NO, he is incorrect.
The intersection can be found by setting both equations equal to each other:
4x-2 =1/2x+5
8x-4 = x+10
7x-4 = 10
7x = 14
x = 2
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plug it back into either equation to find y:
y = 4x-2
y = 4(2)-2
y = 8-2
y = 6
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Intersecting point is at (2,6)