SOLUTION: Hello, Please help me with the following as I am completely stuck on it and google isn't helping me find methods involving a "y" variable. "Given that 2^y = 16^(x � 3) and 3^

Question 860090: Hello,
Please help me with the following as I am completely stuck on it and google isn't helping me find methods involving a "y" variable.
"Given that 2^y = 16^(x � 3) and 3^(y+2) = 27^x, find the value of x + y"
Thank you!!
Found 2 solutions by josmiceli, mananth:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

(1)
-----------------

(2)
------------------
Subtract (2) from (1)
(1)
(2)

and
(2)
(2)
(2)
-------------------
check:

------------------
You can check other equation

Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
2^y = 16^(x � 3) and 3^(y+2) = 27^x
2^(y) = 16^(x � 3)

y=4(x-3)......................(1)

y+2=3x
y-3x=-2......................(2)
substitute y
4(x-3)-3x=-2
4x-12-3x=-2
x=10
y=28
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