SOLUTION: Solve this system of equations {{{5^(2x+3y) = 25}}} {{{2^(x+3y) = 64}}} If I had to guess, I would say that it has to do with the square root of 25 and 64, but I can't remember

SOLUTION: Solve this system of equations {{{5^(2x+3y) = 25}}} {{{2^(x+3y) = 64}}} If I had to guess, I would say that it has to do with the square root of 25 and 64, but I can't remember

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Question 408069: Solve this system of equations

If I had to guess, I would say that it has to do with the square root of 25 and 64, but I can't remember how to get the x or y out of the exponent.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Since and , we have

Solving (preferably by multiplying bottom equation by -1 and eliminating), we get x = -4 and y = 10/3.
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