SOLUTION: I am having trouble on finding points of intersections of different graphs.
Find the coordinates of the points of intersection of the hyperbola y=6/x and the line x-3y+3=0
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Find the coordinates of the points of intersection of the hyperbola y=6/x and the line x-3y+3=0
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Question 529706: I am having trouble on finding points of intersections of different graphs.
Find the coordinates of the points of intersection of the hyperbola y=6/x and the line x-3y+3=0
NB:Must solve algebraically and show all working. Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! I am having trouble on finding points of intersections of different graphs.
Find the coordinates of the points of intersection of the hyperbola y=6/x and the line x-3y+3=0
NB:Must solve algebraically and show all working.
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y=6/x
x-3y+3=0
substitute first equation for y in second equation:
x-3(6/x)+3=0
x-(18/x)+3=0
x^2-18+3x=0
x^2+3x-18=0
(x+6)(x-3)=0
x=-6
y=6/-6=-1
x=3
y=6/3=2
coordinates of the points of intersection: (-6,-1) and (3,2)
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See graph below as a visual check on answers:
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