Let the operations @ and # be defined for all real numbers a and b as follows. a

Question

Let the operations @ and # be defined for all real numbersa and b as follows.
a @ b = a + 3b a # b = a + 4b
If 4 @ (5y) = (5y) # 4, what is the value of y?
I tried putting @ operation as -0.5 , and # operation as +0.5. Using these two operations, I got a final answer of 2.4. However,the correct answer is 1.2. Help??
a @ b = a + 3b a # b = a + 4b
If 4 @ (5y) = (5y) # 4, what is the value of y?
I tried putting @ operation as -0.5 , and # operation as +0.5. Using these two operations, I got a final answer of 2.4. However,the correct answer is 1.2. Help??

Explanation / Answer

I remember these! The symbols separate "a" and "b" terms: 4@(5y) = 4 + 3(5y) = 4 + 15y (5y)#4 = (5y) + 4(4) = 5y + 16 4 + 15y = 5y + 16 10y = 12 y = 1.2

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