SOLUTION: Can someone please help? I am so confused. The sum of three numbers is 8. The first number minus the second plus the third is 4. The first minus the third is 2 more than the sec

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Question 1125747: Can someone please help? I am so confused.
The sum of three numbers is 8. The first number minus the second plus the third is 4. The first minus the third is 2 more than the second. Find the numbers.
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
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Can someone please help? I am so confused.
The sum of three numbers is 8. The first number minus the second plus the third is 4. The first minus the third is 2 more than the second. Find the numbers.
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first, second,third numbers
x, y, z

Second and third sentences:


The first sentence:


system is same as .
.
.
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Answer by ikleyn(52800)   (Show Source): You can put this solution on YOUR website!
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x + y + z = 8     (1)
x - y + z = 4     (2)
x - z = y + 2     (3)


Subtract  equation (2) from equation (1). You will get


2y = 4  ====>  y = 4/2 = 2.


Substitute y= 2 into equations  (1)  and  (3).   You will get


x + z = 6     (4)
x - z = 4     (5)


Add equations (4) and (5).  You will get


2x = 10  ====>  x = 10/2 = 5.


Substitute  x= 5  and  y= 2 into equation (1). You will get


5 + 2 + z = 8  ====>  z = 1.


Answer.  x= 5,  y= 2,  z= 1.

Solved.


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