in MMA : how to get the variable values by solving one equation directly?

In Mathematica, I want to get the variable values by solving one equation directly, this means: I have the equation a 1 x + b 1 y + c 1 = d 1 a 2 x + b 2 y + c 2 = d 2 a_1 x + b_1 y + c_1 = d_1 \\ a_2
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