SOLUTION: If M is a midpoint of segment AB and AM=3x+1, if AB=20 cm what is the value of x?

Question 1196431: If M is a midpoint of segment AB and AM=3x+1, if AB=20 cm what is the value of x?
Found 2 solutions by math_tutor2020, amoresroy:
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

M is the midpoint of AB, so AM = MB
and
AM+MB = AB
AM+AM = AB
2*AM = AB
AM = AB/2
AM = 20/2
AM = 10

Then,
AM = 3x+1
3x+1 = 10
3x = 10-1
3x = 9
x = 9/3
x = 3

Answer by amoresroy(361) (Show Source): You can put this solution on YOUR website!
AM = 20/2 = 3x + 1
3x + 1 = 10
x = 9/3
x = 3
Solved.
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