SOLUTION: The sum of 3 numbers is 2. the first number minus the second plus the third is -2. The first minus the third is 2 more than the second. Find the numbers. I am so lost.

Algebra.Com
Question 839299: The sum of 3 numbers is 2.
the first number minus the second plus the third is -2.
The first minus the third is 2 more than the second.
Find the numbers. I am so lost.

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
Let x, y, z represent the numbers respectively
The sum of 3 numbers is 2.
the first number minus the second plus the third is -2.
The first minus the third is 2 more than the second.
Write as we read
I. x + y + z = 2
II. x - y + z = -2
III. x - z = y + 2
I. x + y + z = 2
II. x - y + z = -2
2x + 2z = 0 0r
III. x - z = y + 2
-z - z = y + 2

I. -z + (-2z-2) + z = 2
-2z - 2 = 2
-2z = 4
z = -2
x = 2, y = 2, z = -2



RELATED QUESTIONS

The sum of three numbers is 10. The first number minus the second plus the third is 6.... (answered by Fombitz)
The sum of three numbers is 8 . The first number minus the second plus the third is 4 (answered by Alan3354)
Can someone please help? I am so confused. The sum of three numbers is 8. The first... (answered by josgarithmetic,ikleyn)
the sum of 3 numbers is 5. the first number minus the second plus the third is. the... (answered by Edwin McCravy)
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)
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 Ryan O)
Hi, Can anyone solve this problem? The sum of three numbers is 9. The first minus the... (answered by ikleyn,MathTherapy)