What is the Lorentz Transformation for t'?

[climb515c]

Homework Statement

We were told that it is a simple algebraic substitution to derive the t' expression from the x and x' equations for a lorentz transformation. However, I keep reaching a dead end in the algebra.

Homework Equations

x=B(x'+vt')
x'=B(x-vt)
B=1/(Sqrt(1-(v/c)^2))
B^2 = c^2/(c^2 -v^2)

Show t'=B(t-(vx/c^2))

The Attempt at a Solution

I've subbed x' into x multiple times and I am still getting no where. Does anyone have a tip, or maybe a relation I should be looking for that will help me get to t'? Thanks for any help

 

[climb515c]

Never mind everybody, I was able to figure it out. I guess its not my day today.