Question:
If x = 2a + 1 and y = a -1 is a solution of the equation 2x - 3y + 5 = 0, find the value of a.
Solution:
We are given, 2x - 3y + 5 = 0 (2a + 1, a - 1) is the solution of equation 2x - 3y + 5 = 0.
Substituting x = 2a + 1 and y = a - 1 in 2x - 3y + 5 = 0,
We get 2 × 2a + (1- 3) x a - 1 + 5 = 0
⟹ 4a + 2 - 3a + 3 + 5 = 0
⟹ a + 10 = 0
⟹ a = - 10