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Question 631509: b is the midpoint of ac. if ab = 2x + 4 and BC = 3x + 6, find AC answer
Answer by girl_from_moscow(7)   (Show Source):
You can put this solution on YOUR website! b is the midpoint of ac. if ab = 2x + 4 and BC = 3x + 6, find AC answer
allright, so all we need is a bit of logic thinking.
if B is the midpoint of AC then it means that point B divides AB and BC in equal halves.
so this now tells us that AB and BC are equal.
since you know point AB and BC you can easily find AC by setting up and equation.
2x+4=3x+6
2x-3x=6-4
-x=2
x=-2
now that you found x, you can substitute into the equation to find the value.
2(-2)+4=0 so AB=0
2(-2)-3(-2)=2 so BC=2
OOPS! you notice that AB and BC are different.
so the final answer is that there is NO SOLUTION.
ANSWER: no solution
hope this helps you)))
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