Point M is on line segment LN. Given LN = 9, MN = 4x, and LM=5x determine the numerical length of MN

Answer : MN =

MN = 4

Step-by-step explanation:

Given that L, M, N are collinear,

LN = 9,

MN = 4x

LM = 5x

Required:

Length of MN

SOLUTION:

To calculate the numerical length of MN, we need to find the value of x.

To find the value of x, generate an equation to solve for x as follows:

(segment addition postulate)

(substitution)

Solve for x

Divide both sides by 9

MN = 4x

plug in the value of x

MN = 4(1) = 4

x = -3

y = -18

step-by-step explanation:

to solve by substitution, substitute one variable and solve for the other. then substitute again to find the remaining variable.

x-1/3(3x-9) = -3 since y=3x-9 substittute y.

x-1/3(3x-9)=-3

x + x +3 = -3

2x+3=-3

2x+3-3= -3-3

2x=-6

x=-3

substitute again into y=3x-9

y=3(-3)-9

y=-9-9

y=-18