Question

Find MP.

MN=17
NP=3y
MP=5y+9

Answer 1

`MP = 29`

Explanation:

Given:

`MN = 17`

`NP = 3y`

`MP = 5y + 9`

`MN + NP = MP` (segment addition postulate)

`17 + 3y = 5y + 9` (substitution)

`3y = 5y + 9 - 17` (subtracting 17 from each side)

`3y = 5y + 8`

`3y - 5y = 5y - 8 - 5y` (Subtracting 5y from both sides)

`-2y = 5y - 8 - 5y`

`-2y = - 8`

`y = 4` (dividing both sides by -2)

`MP = 5y + 9`

Plug in the value of y

`MP = 5(4) + 9 = 20 + 9`

`MP = 29`