Question

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

Answer 1

Answer:

$x = 2 α + 1 \: and \: y = α -1 \: \\ is \: a \: solution \: of \: the \: equation \: 2x – 3y + 5 = 0 \\ 2(2 \alpha + 1) - 3( \alpha - 1) + 5 = 0 \\ 4 \alpha + 2 - 3 \alpha + 3 + 5 = 0 \\ \alpha + 10 = 0 \\ \alpha = - 10$

Answer 2

-10 is the value of a