Asked by Anonymous
A binary operation * is defined on R the set of real numberr by x*y=x-2y for all a ,y e R if (4*q)*8=6 find q
Answers
Answered by
mathhelper
x*y=x-2y
then (4*q) = 4 - 2q
and then
(4*q)*8 = 4*q - 16
= (4-2q) - 16
= -2q - 12
but this equals 6
-2q - 12 = 6
-2q = 18
q = -9
check
(4*-9)*8 = (4 - 2(-9))*8 = 22*8
= 22-16 = 6
then (4*q) = 4 - 2q
and then
(4*q)*8 = 4*q - 16
= (4-2q) - 16
= -2q - 12
but this equals 6
-2q - 12 = 6
-2q = 18
q = -9
check
(4*-9)*8 = (4 - 2(-9))*8 = 22*8
= 22-16 = 6
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.