SOLUTION: Solve the simultaneous equation: {{{2x+y-1=0}}} 2 to the power of x+y =32 (Doesn't format correctly)

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Question 1111881: Solve the simultaneous equation:
2x%2By-1=0
2 to the power of x+y =32 (Doesn't format correctly)
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the simultaneous equations:
2x%2By-1=0
2 to the power of x+y =32 (Doesn't format correctly)
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+2x%2By-1+=+0+ (1)
+2%5E%28x%2By%29+=+32+ (2)
(2) implies +x%2By+=+5 (2') because 2%5E5+=+32+
(1) can be re-written +2x+%2B+y+=+1+ (1')
Subtract (1') from (2') to eliminate y (there are other methods, this just looked easiest to me):
+x+%2B+y+=+5+
- +2x+%2B+y+=+1+
—————————
-x = 4
x = -4 —> y = 9
——————————
Ans: highlight%28+x+=+-4%29+ and +highlight%28y+=+9%29+
———————————
Check (using original equations):
1. 2x + y - 1 = 2(-4)+9-1 = -8+9-1 = 0 (ok)
2. +2%5E%28x%2By%29+=+2%5E%28-4%2B9%29+=+2%5E5+=+32+ (ok)