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Use cramer's rule to solve the equations...

Use cramer's rule to solve the equations:
`a_2x+b_2y+c_2=0.a_3x+b_3y+c_3=0,a_2b_3-b_2a^3 ne0` and hence , find the condition in the form of a determinant of third order so that the three equations `a_ix+b_iy+c_i=0` (i=1,2,3) are satisfied by the same values of x and y .

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The correct Answer is:
`x=(b_2c_3-c_2b_3)/(a_2b_3-b_2a_3), y=(c_2a_3-a_2c_3)/(a_2b_3-b_2a_3) ,|{:(a_1,b_1,c_1),(a_2,b_2,c_2),(a_3,b_3,c_3):}|=0`
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