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
Algebra.Com
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
-------------
Rearrange:
X + Y + Z = 26
2X- Y - Z = -2
3X- Y + Z = 0
------------------
I used the Matrix function of a TI caluculator to get:
X= 8
Y= 21
Z= -3
==========
Cheers,
Stan H.
RELATED QUESTIONS
The sum of three numbers is 26. Twice the first minus the second is 2 less than the... (answered by lwsshak3)
The sum of three numbers is 32. Twice the first minus the second is 5 less than the... (answered by Alan3354,josgarithmetic)
The sum of three numbers is 26. Twice the first minus the second is two less than the... (answered by stanbon)
The sum of three numbers is 10. Two times the second number minus the first number is... (answered by lwsshak3)
I have three numbers. the sum of the first two minus the third is -1. The sum of the... (answered by pmesler)
The sum of t
hree numbers is five. The first number minus the second number plus the... (answered by stanbon)
The sum of three numbers is 5. The first number minus the second plus the third is 1. The (answered by checkley77)
The sum of three numbers is 5 . The first number minus the second plus the third is one . (answered by edjones)
Hi, Can anyone solve this problem? The sum of three numbers is 9. The first minus the... (answered by ikleyn,MathTherapy)