For rational numbers x and y, define an operation "*": X * y = ax + by, where a and B are constants, and the right side of the equation is the usual addition and multiplication operation. Given 1 * 2 = 8, (- 2) * 3 = 5, find the value of 3 * 5

For rational numbers x and y, define an operation "*": X * y = ax + by, where a and B are constants, and the right side of the equation is the usual addition and multiplication operation. Given 1 * 2 = 8, (- 2) * 3 = 5, find the value of 3 * 5

According to the meaning of the problem, we can get the equations: a + 2B = 8 − 2A + 3B = 5, the solution is: a = 2, B = 3, then the new operation x * y = ax + by can be replaced by X * y = 2x + 3Y, so 3 * 5 = 2 × 3 + 3 × 5 = 21