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Question

Question 3 (ii)
Are the following pair of linear equations consistent? Justify your answer.
35xy=12 and 15x3y=16

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Solution

35xy=12 and 15x3y=16Here, a1=35, b1=1, c1=12and a2=15, b2=3, c2=16Now, a1a2=31, b1b2=13=13, c1c2=31
a1a2 b1b2
The given pair of linear equations has a unique solution.

Thus, the system of equations is consistent.


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