Consider the system of equations:

ax + by = c, where a, b, c are in arithmetic sequence

dx + ey = f, where d, e, f are in arithmetic sequence

Given that ae ≠ bd, show that the system has x = -1 and y = 2 as its unique solution.

I've simplified the given system of equations and obtained an expression for 'x' and 'y' in terms of e, a, b, c , f and d. Yet, I'm unable to show that x=-1 and y=2 form a unique solution set. kindly help me with this.

Thanks in advance,

MAX