hp35s solve equation complex format

[dalupus]

Is there any way to solve the following directly without splitting off the imaginary part and using the 2x2 solver?

(1i0)x + (-.5i0.86603)y = 0i30

Or even better in polar

(1t0)x + (1t120)y = 30t-90 where t is theta

I saw stefan's matrix multi tool but even that assumes you need 2 equations which you don't in this case. That one equation is sufficient.

I could code this up simple enough using kramers rule, just curious if the functionality was built in.

Is it possible to use the 2x2 and 3x3 solver in a program?