SOLUTION: Suppose B is the midpoint of AC. AB = 5x and BC = 3x + 4. Find AB.

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Question 659040: Suppose B is the midpoint of AC. AB = 5x and BC = 3x + 4. Find AB.
Answer by MathLover1(20850) About Me  (Show Source):
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given:
Suppose B is the midpoint of AC.
AB+=+5x and BC+=+3x+%2B+4.
Find: AB
____________________________
if B is the midpoint of AC, then AB=BC
so, we have:
AB+=+5x and BC+=+3x+%2B+4
then,
5x=3x+%2B+4....solve for x
5x-3x+=4
2x+=4
highlight%28x+=2%29
now, find AB
AB+=+5x
AB+=+5%2A2
highlight%28AB+=+10%29