SOLUTION: Help me with this simultaneous equations {{{2^x-5^y=3}}} and {{{2^(x-2)+5^(y-2)=2}}}

Question 1072984: Help me with this simultaneous equations

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Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
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Sub r for 2^(x-2) and s for 5^(y-2)
4r - 25s = 3
2r + s = 2 times 2 --> 4r + 2s = 4
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4r - 25s = 3
4r + 2s = 4
----------------------- Subtract
-27s = -1
s = 1/27
r = 53/54
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(x-2)*log(2) = log(53/54)
x = 2 + log(53/54)/log(2)
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Solve for y the same way.

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