SOLUTION: Solve the system: {{{ y = 2^x - 2^(-x) }}} {{{ x = log(2,(1 - y)) }}}

Algebra ->  Systems-of-equations -> SOLUTION: Solve the system: {{{ y = 2^x - 2^(-x) }}} {{{ x = log(2,(1 - y)) }}}      Log On


   

Question 982122: Solve the system:
+y+=+2%5Ex+-+2%5E%28-x%29+
+x+=+log%282%2C%281+-+y%29%29+
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
+y+=+2%5Ex+-+2%5E%28-x%29+
+x+=+log%282%2C%281+-+y%29%29+ --> 2%5Ex+=+1+-+y
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+y+=+2%5Ex+-+2%5E%28-x%29+
+y+=+%281-y%29+-+1%2F%281-y%29+
y%2A%281-y%29+=+%281-2y%2By%5E2%29+-+1
y+-+y%5E2+=+y%5E2+-+2y
2y%5E2+-+3y+=+0
y = 0, x = 0
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y = 3/2, x = undefined