Can Frame S' Make Two Events Simultaneous?

[da_warped_1]

hi, wondering if anyone could give me a little help with this question

The space and time coordinates of two events are measured in frame S to be:

Event 1: x1 = L, t1 = L/c

Event 2: x2 = 2L, t2 = L/2c

(a) find the velocity of a frame S' in which both events occur at the same time?

(b) What is the time t' that both events occur in S'?

thanks

 

[Meir Achuz]

Write t_1'=gamma(t_1-vx_1/c^2), and equate that to the same equation for
t_2'. Then, solve for v.