Question 22
Binary OperationsIf x∗y = x + y − xy, find x, when (x∗2) + (x∗3) = 68
- A.24
- B.22
- C.−12
- D.−21
Show the answer and explanation
Answer: D (−21)
Explanation
x∗2 = x + 2 − 2x = 2 − x and x∗3 = 3 − 2x. So 5 − 3x = 68, giving x = −21.
If x∗y = x + y − xy, find x, when (x∗2) + (x∗3) = 68
Answer: D (−21)
x∗2 = x + 2 − 2x = 2 − x and x∗3 = 3 − 2x. So 5 − 3x = 68, giving x = −21.