1.

If x = 2α+1 and y = α-1 is a solution of the equation 2x-3y+5=0, find the value of α.

Answer»

Given, 

x = 2α+1 and y = α-1 is a solution of the equation 2x - 3y + 5= 0 

⇒ 2 × (2α + 1) – 3(α – 1) + 5 = 0 

⇒ 4α + 2 – 3α + 3 + 5 = 0 

⇒ α = -10



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