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Question

If x=2α+1 and y=α1 is a solution of the equation 2x3y+5=0, find the value of α.

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Solution

x=2α+1 and y=α1 are the solution of the equation 2x3y+5=0

Substituting the value of x and y

2(2α+1)3 (α1)+5=0

4α+23α+3+5=0

α+10=0 α=10

Hence, α=10


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