Converting one part of the equation into another

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SUMMARY

The discussion focuses on eliminating the variable h from two equations in a physics context. The first equation, h = (1/2)gt², is already solved for h, allowing for substitution into the second equation, (2/3)h = (1/2)g(t - Δt)². Participants suggest rearranging the equations to express both in terms of h and equating them, or manipulating the second equation by multiplying both sides by 3/2 to simplify the process. Mastery of basic algebra is emphasized as essential for success in the course.

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Homework Statement


http://img90.imageshack.us/img90/8280/picture1mc2.png
In my answer guide, how do I eliminate h from the beginning part of this equation? Can someone give me hints to fill in the missing gap?

Homework Equations


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The Attempt at a Solution


I don't know how to get rid of h first. :(
 
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Rearrange one of the expressions so that they are both expressions for h. Then equate them (or just put them together) and you will have eliminated h.
 
I still don't know how to rearrange them D:
 
If you have never learned algebra, you are going to have a very difficult time through out this course since it clearly assumes you did. The first equation, h= (1/2)gt^2 is already solved for h. You can just replace h in the second euation, (2/3)h= (1/2)g(t- \Delta t)^2 by (1/2)gt^2. Or, doing as coffeem suggests, since h is multiplied by 2/3, you can multiply both sides by 3/2 to get rid of that 2/3.
 

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