SOLUTION: Point M is the midpoint of segment RT. RM=x and RT=4x-6. Find the value of x.

Algebra ->  Points-lines-and-rays -> SOLUTION: Point M is the midpoint of segment RT. RM=x and RT=4x-6. Find the value of x.      Log On


   

Question 995301: Point M is the midpoint of segment RT. RM=x and RT=4x-6. Find the value of x.
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Point M is the midpoint of segment RT. RM=x and RT=4x-6. Find the value of x.
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Draw the line segment RT
Sketch M at the midpoint.
Note: RM = MT
Equation:
2x = 4x-6
2x= 6
x = 3
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Cheers,
Stan H.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

"Point M is the midpoint of segment RT" so that means RM = MT and RM+MT = RT

RM+MT = RT
RM+RM = RT ... plug in RM = MT
2*RM = RT


2*RM = RT
2*x = 4x-6 ... plug in RM=x and RT=4x-6
2x - 4x = -6
-2x = -6
x = -6/(-2)
x = 3

Answer: x = 3