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=−12−12=1 ∴a1a2=b1b2≠c1c2
So, the given pair of linear equations is inconsistent and has no solution.