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Law of Reciprocal

If 2x+py=-5...

Question

If $2 x + p y = - 5$ and $3 x + 3 y = - 6$ has a unique solution, then find $p$ .

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Solution

2x+py=-5....Multiply with 3
6x+3py=-15
3x+3y=-6....Multiply with 2
6x+6y=-12
Now for unique solution, 3p not equal to 6

Therefore p not equal to 2

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