Question

Find the value of x if A,B,and C are collinear points and B is between A and C. AB=3x, BC=2x-7, AC=2x+35

Answer 1

x = 14

Explanation:

3x+2x-7=2x+35

then solve for x

Answer 2

x = 14

Explanation:

We are given that A, B and C are collinear points and B is in between A and C.

The length from A to B is
`3 x`, length from B to C is
`2x - 7` and AC is
`2 x + 35`.

We are to find the value of x.

`A B + B C = A C`

`3 x + 2 x - 7 = 2 x + 3 5`

`3 x + 2 x - 2 x = 3 5 + 7`

`3 x = 4 2`

`x = \frac { 4 2 } { 3 }`

x = 14