analysis of BJT PNP type
Iterate.

Start by offsetting the circuit so that the -3V line becomes 0V and the +3V line becomes +6V.  You can return to the plus minus 3V when you are done.

Calculate the Thevenin equivalent voltage at the Q1 base, assuming no base current.  Use that to set the emitter voltage, calculate the current through the emitter resistor.

Use the current through the emitter resistor to calculate the base current and apply that to the Thevenin equivalent voltage at the base.

Recalculate the emitter current.

A couple of rounds of this and you will converge on the answer.  Then you can calculate the current through the collector resistor.  Hint: it's not the same as the emitter current.

This may not be the most elegant way to solve this problem but it is quick to do.