SOLUTION: One number is 5 more than another. Three times the smaller number decreased by twice the larger number is = to 5 more than the smaller # what are the #s I just can't seem to fi

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Question 231304: One number is 5 more than another. Three times the smaller number decreased by twice the larger number is = to 5 more than the smaller # what are the #s
I just can't seem to figure this out, Help!
Joe
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
One number is 5 more than another. Three times the smaller number decreased by twice the larger number is = to 5 more than the smaller # what are the #s
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Let x be a "larger number" and y be "a smaller number".
Equation:
x = y + 5
3y-2x = y+5
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Rearrange:
x = y + 5
2y = 2x+5
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Substitute for "x" and solve for "y":
2y = 2(y+5)+5
2y = 2y+15
0 = 15
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That is a contradiction and telly us the original set of
equations are inconsistent. There is no solution.
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Cheers,
Stan H.