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The solution:

We are given that a * b= a - 3b. To evaluate 4*3, we must recognize that a corresponds to 4 and b corresponds to 3.

If a*b=a-3b, 4*3=4-3(3)=-5
Since 4*3=-5, (4*3) #5 = -5#5

To evaluate -5#5, we see that a#b=2a+3b, and recognize that, in this case, a corresponds to -5 and b corresponds to 5.

If a#b = 2a+3b, -5#5 = 2(-5)+3(5)=5
So, (4*3)#5=5
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Old 07-26-2015, 10:23 AM
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