Question

In the diagram shown below, Points M, N and P are collinear. If MN = 3x-9, NP = x+1 and MP= 6x-22, solve for the value of X (Answer notation: x=__)

Answer 1

The value of x is 7

Explanation:

M, N and P are collinear means they lie on the same line.

Mathematically;

MP = MN + NP

Thus;

6x-22 = 3x -9 + x + 1

6x-22 = 4x -8

6x -4x = -8 + 22

2x = 14

x = 14/2

x = 7