SOLUTION: Point B is between points A and C. AB=2x-3 BC=7x-10 and AC=32. What is the value of x. (pls help stuck on hmwk)

Algebra ->  Pythagorean-theorem -> SOLUTION: Point B is between points A and C. AB=2x-3 BC=7x-10 and AC=32. What is the value of x. (pls help stuck on hmwk)       Log On


   

Question 1064923: Point B is between points A and C. AB=2x-3 BC=7x-10 and AC=32. What is the value of x. (pls help stuck on hmwk)
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Segment Addition Postulate:
AB%2BBC=AC
2x-3%2B7x-10=32

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Point B is between points A and C. AB=2x-3 BC=7x-10 and AC=32. What is the value of x. (pls help stuck on hmwk)
AB + BC = AC

2x - 3 + 7x – 10 = 32 ------- Substituting 2x - 3, 7x - 10, and 32, for AB, BC, and AC, respectively

9x – 13 = 32

9x = 32 + 13 

9x = 45

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