Question

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

Answer 1

Since the given expression for x and y is solution of the equation, it satisfies the equation. So,
$2 \times (2a + 1) - 3 \times (a - 1) + 5 = 0 \\ 4a + 2 - 3a + 3 + 5 = 0 \\ a = - 10$