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Question

Are the following pair of linear equations consistent ? justify your answer
- 3x - 4y = 12 and 4y + 3x = 12

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Solution

- 3x - 4y = 12 and 4y + 3x = 12
Here, a1a2=33=1,b1b2=44=1 and c1c2=1212=1
a1a2=b1b2c1c2
So, the given pair of linear equations is inconsistent and has no solution.

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