Question

Find the value of x if A, B, and C are collinear points and B is between A and C

AB=5, BC=3x+7, AC=5x-2

Answer 1

x = 7

Explanation:

5 + 3x + 7 = 5x - 2

Solve for x and you get 7

Answer 2

x = 7

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

We are to find the value of x.

`A B + B C = A C`

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

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

`2 x = 1 4`

`x = \frac { 1 4 } { 2 }`

x = 7