Question
If AB = x + 3, BC = 2x and AC = 4x β 5, then for what
value of βxβ does B lie on AC?Solution
To find the value of 'x' such that point B lies on line AC, the sum of the lengths AB and BC must equal the length of AC. Given: 
For B to lie on AC, we have the equation:
AB+BC = AC Substitute the given expressions: (x+3)+2x = 4x β 5 Simplify: 3x+3 = 4x β 5 Subtract 3x from both sides = 3 = x β 5 Add 5 to both sides = x = 8
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