21subtracting we get z1= z2, z1+ z3 = -3
adding we can get z1z2
now with z1+ z2 and z1z2 in hand (leg? :D)we can easily solve
\hspace{-16}\bold{(Q)::}\; $Find all Complex no. $\mathbf{z_{1}}$ and $\mathbf{z_{2}}$ in \\\\\\ $\mathbf{z^2_{1}-3z_{2}+5=0}$\\\\ $\mathbf{z^2_{2}-3z_{1}+5=0}$
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