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

Question

If x = 2&#x3B1;+1 and y = &#x3B1;-1 is a solution of the equation 2 x -3 y +5=0, find the value of &#x3B1;.

Philoid · Accepted 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