SOLUTION: A (0,16), B(8,0) C(0,6) D(18,0) Point M is the point of intersection between line AB and line CD. Find M.

Question 1039897: A (0,16), B(8,0) C(0,6) D(18,0)
Point M is the point of intersection between line AB and line CD. Find M.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A (0,16), B(8,0) C(0,6) D(18,0)
Point M is the point of intersection between line AB and line CD. Find M.
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Line AB:: y/16 + x/8 = 1
Line CD:: y/6 + x/18 = 1
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Rearrange:
y = -2x + 16
y = -x/3 + 6
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Substitute and solve for "x"::
-2x+16 = -x/3 + 6
--------
-6x + 48 = -x + 18
5x = 30
x = 6
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Solve for "y"::
y = -2x + 16
y = -2(6) + 16
y = 4
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Ans:: (6,4)
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Cheers,
Stan H.
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