The binary operation (oplus) is defined by x (ast) y = xy – y -…

The binary operation (oplus) is defined by x (ast) y = xy – y – x for all real values x and y. If x (ast) 3 = 2(ast), find x

Correct Answer: Option C

Explanation

x (ast) y = xy – y – x, x (ast) 3 = 3x – 3 – x = 2x – 3
2 (ast) x = 2x – x – 2 = x – 2
∴ 2x – 3 = x – 2
x = -2 + 3
= 1