SOLUTION: The sum of three numbers is 26. Twice the first minus the second is two less than the third. The third is the second minus three times the first. Find the numbers.
X+Y+Z=26
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X+Y+Z=26
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Question 121390: The sum of three numbers is 26. Twice the first minus the second is two less than the third. The third is the second minus three times the first. Find the numbers.
X+Y+Z=26 Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! The sum of three numbers is 26. Twice the first minus the second is two less than the third. The third is the second minus three times the first. Find the numbers.
X+Y+Z=26
2X-Y+2 = Z
Z = Y-3X
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Rearrange:
X + Y + Z = 26
2X- Y - Z = -2
3X- Y + Z = 0
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I used the Matrix function of a TI caluculator to get:
X= 8
Y= 21
Z= -3
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Cheers,
Stan H.
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