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1. Find the value of k for the given system of linear equations satisfying the condition below:
(i) 2x + ky = 1; 3x − 5y = 7 has a unique solution
(ii) kx + 3y = 3; 12x + ky = 6 has no solution
(iii) (k − 3)x + 3y = k; kx + ky = 12 has infinite number of solution
2. Find the value of a and b for which the given system of linear equation has infinite number of solutions 3x − (a + 1)y = 2b −1, 5x + (1 − 2a)y = 3b
For the given linear equations, find another linear equation satisfying each of the given condition
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