Converting one part of the equation into another

!!!

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

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?

2. Relevant equations
None

3. The attempt at a solution
I don't know how to get rid of h first. :(

coffeem

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:

HallsofIvy

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, [itex]h= (1/2)gt^2[/itex] is already solved for h. You can just replace h in the second euation, [itex](2/3)h= (1/2)g(t- \Delta t)^2[/itex] by [itex](1/2)gt^2[/itex]. 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.