Find two variable in terms of 6 other with 2 equalities available includes square root and square power

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I have the following two equations :

$$\sqrt{(x_p-x_{a_1})^2+(y_p-y_{a_1})^2}+\sqrt{(x_p-x_{b_1})^2+(y_p-y_{b_1})^2}=D_1$$ $$\sqrt{(x_p-x_{a_2})^2+(y_p-y_{a_2})^2}+\sqrt{(x_p-x_{b_2})^2+(y_p-y_{b_2})^2}=D_2$$

I want to find $x_p$ and $y_p$ in terms of the other variables $x_{a_1} , y_{a_1} , x_{a_2} , y_{a_2}, D_1 , D_2$, can't solve it i don't know how

My attemp was by raising all sides to the power of 2 and then subtracting the second equality from the first , that did'nt help alot