LN=3x+3, LM=4x, and MN=2x

Question

Point M is on the line segment LN. Given LN=3x+3, LM=4x, MN=2x, determine the numerical length of MN.

Answer 1

Hi Jaziah S.

Point M is on the line segment LN.

L__________________M______N

LN = 3x + 3

LM = 4x

MN = 2x

LM + MN = LN

4x + 2x = 3x + 3

6x = 3x + 3

Solve for x

6x -3x = 3

3x = 3

x = 1

LM = 4

MN = 2

LN = 6

Checking

4(1) + 2(1) = 3(1) + 3

4 + 2 = 3 + 3

6 = 6

I hope this helps send a message if you have any questions.