The stuff about collinear points and B between A and C is a fancy way of saying
AB + BC = AC
(x + 6) + (3x - 5) = 36 - x
4x + 1 = 36 - x
5x = 35
x = 7
Check:
(7+6)+(3(7)-5) - (36-7) = 13 + 16 - 29 = 0 good
Answer:
The value of x is 7.
Step-by-step explanation:
Here,
AB = x+6, BC = 3x-5, AC = 36-x
Such that A, B, and C are collinear points and B is between A and C,
That is, AC = AB + BC
Bys substituting the values,
⇒ 36 - x = x + 6 + 3x - 5
⇒ 36 - x = 4x + 1
⇒ 36 - x - 4x = 1
⇒ -5x = 1 - 36
⇒ -5x = -35
⇒ x = 7
Hence, the value of x is 7.
