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.

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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) About Me  (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   x+=+-z



III.  x - z = y + 2

     -z - z = y + 2

-2z+-+2+=+y+



I. -z + (-2z-2)  + z = 2

  -2z - 2 = 2

    -2z = 4

      z = -2

 x = 2,  y = 2, z = -2