Question

M is between N and O. Find NO.
NM = 17
MO = 3x - 5
NO = 5x + 2

Answer 1

NM + MO = NO
17 + 3x - 5 = 5x + 2
Combine like terms (17 - 5)
12 + 3x = 5x + 2
Subtract 3x from both sides (3x - 3x) (5x - 3x)
12 = 2x + 2
Subtract 2 from both sides (2 - 2) (12 - 2)
10 = 2x
Divide 2 from both sides (2/2) (10/2)
X = 5

NO = 5x + 2
NO = 5(5) + 2
NO = 25 + 2
NO = 27

Answer 2

NO = 27

Explanation:

Given that M is between NO , then

NO = NM + MO , that is

5x + 2 = 17 + 3x - 5

5x + 2 = 3x + 12 ( subtract 3x from both sides )

2x + 2 = 12 ( subtract 2 from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Then

NO = 5x + 2 = 5(5) + 2 = 25 + 2 = 27