1.

(i) Prove that there is a value of c(≠ 0) for which the system6x + 3y = c − 312x + cy = c has infinitely many solutions. Find this value.(ii) Find c if the system of equations cx + 3y + 3 – c = 0, 12x + cy – c = 0 has infinitely many solutions?

Answer» (i) Prove that there is a value of c(≠ 0) for which the system

6x + 3y = c − 3

12x + cy = c has infinitely many solutions. Find this value.



(ii) Find c if the system of equations cx + 3y + 3 – c = 0, 12x + cy – c = 0 has infinitely many solutions?


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