Question 1185610
The sum of three numbers is 32.  Twice the first minus the second is 5 less than the third.  The third is the second minus three times the first.  Find the numbers.
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F + S + T = 32
2F - S = T - 5
T = S - 3F
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Sub for T in the 1st 2 equations.
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F + S + S - 3F = 32
-2F + 2S = 32 ---> F - S = -16 ---> F = S-16
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2F - S = S - 3F - 5 ---> 5F - 2S = -5
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F = S-16
5F - 2S = -5
Sub for F
5(S-16) - 2S = -5
3S - 80 = -5
S = 25
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F = 9
T = -2
9, 25, -2 are the 3 numbers in order