Question 1057895: If P bisects KM, PK=5v+7, and PM=10v-13,Find v and KM
Answer by solve_for_x(190)   (Show Source):
You can put this solution on YOUR website! Since P bisects KM, P is the midpoint between K and M, and thus PK = PM.
This gives:
5v + 7 = 10v - 13
Subtracting 5v from both sides gives:
7 = 5v - 13
5v - 13 = 7
Adding 13 to both sides gives:
5v = 7 + 13
5v = 20
Dividing both sides by 5 then gives:
v = 4
Using v = 4, PK = 5(4) + 7 = 27.
Thus, KM = 2*PK = 2*27 = 54
As a check, calculate PM to see that PM = PK:
PM = 10(4) - 13 = 40 - 13 = 27 = PK.
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