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Question

The pair of linear equations 8x−5y=7 and 5x−8y=−7 have:

A
Unique solution
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B
Two solutions
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C
No solution
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D
Many solutions
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Solution

The correct option is A Unique solution
The pair of liner equations 8x5y=7,5x8y=7x−5yx−2y=0,3x+4y=20
Here a1=8,b1=5;a2=5,b2=8
a1=1,b1=−2;a2=3,b2=4
Thus a1a2b1b2a1a2≠b1b2
Hence ,these are non parallel and thus they will intersect and will give one solution.

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