How Do You Solve for x in a Midpoint Geometry Problem?

[Stratosphere]

Homework Statement

Point M is the midpoint of RT ( with the lin on top of RT).RM = x and RT = 4x-6. Find the value of x.

Homework Equations

The Attempt at a Solution

I wrote out the equation (RT=4x-6)/2=RM but I am not sure if this is the right approach.

 

[Stratosphere]

A little help would be greatly appreciated.

 

[symbolipoint]

Your approach seems good. Continue!

You have an expression for the full length measure and you have an expression for half of that full length measure. You only have one variable.

 

[Stratosphere]

What should I do though? Do I have to isolate the x? I have two variables thought RT and x.

 

[alligatorman]

You know that RT= 4x-6.

You should be able to get an equation with one variable.

 

[yeongil]

And since RM = x, the equation would simply be
$$\frac{4x - 6}{2} = x$$
so yes, there is just one variable.01

 

[chiro]

Homework Statement

Point M is the midpoint of RT ( with the lin on top of RT).RM = x and RT = 4x-6. Find the value of x.

Homework Equations

The Attempt at a Solution

I wrote out the equation (RT=4x-6)/2=RM but I am not sure if this is the right approach.

You basically said the answer. Equality is commutative.

if x = RM then RM = x for all R,M,x

 

[symbolipoint]

You basically said the answer. Equality is commutative.

if x = RM then RM = x for all R,M,x

You more correctly mean to say, equality is "symmetric".