Solving 4 product equations 4 unknowns

[golmschenk]

I ran into this in my research and I'm certain it should be extremely simple, but for some reason I can seem to remember how to do it. If I have a setup such as:
a1*b1=c1
a2*b1=c2
a1*b2=c3
a2*b2=c4
And the c's are known values, how do I solve for the a's and b's in terms of c's?

 

[rock.freak667]

Take the first two equations and divide them to eliminate b1

Take the last two and divide them and eliminate b2


You will now have two equations in a1 and a2