# Geometry homework problem help

1. May 22, 2009

### Stratosphere

1. The problem statement, all variables and given/known data
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.

2. Relevant equations

3. 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.

2. May 22, 2009

### Stratosphere

Re: Geometry

A little help would be greatly appreciated.

3. May 22, 2009

### symbolipoint

Re: Geometry

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.

4. May 23, 2009

### Stratosphere

Re: Geometry

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

Last edited: May 23, 2009
5. May 23, 2009

### alligatorman

Re: Geometry

You know that RT= 4x-6.

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

6. May 23, 2009

### yeongil

Re: Geometry

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

01

7. May 25, 2009

### chiro

Re: Geometry

You basically said the answer. Equality is commutative.

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

8. May 25, 2009

### symbolipoint

Re: Geometry

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