Converting one part of the equation into another

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To eliminate h from the equation, rearranging one of the expressions to isolate h is essential. The first equation, h = (1/2)gt^2, is already solved for h and can be substituted into the second equation. By replacing h in the second equation with (1/2)gt^2, h is effectively eliminated. Alternatively, multiplying both sides of the second equation by 3/2 can also help in simplifying the equation. Understanding these algebraic manipulations is crucial 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?

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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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