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Write a pair of equations in variables x...

Write a pair of equations in variables x and y which is consistent with
(A) unique solution
(B) infinitely many solution

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Find the values of a and b for which the system of equations x+y+z=3,x+2y+2z=6,x+9y+az=b will have (i) no solution (ii) unique solution (iii) infinitely many solution

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