Question 230976
Three integers, x, y, z
:
Write an equation for each statement:
:
The sum of three numbers is 9.
x + y + z = 9
:
 The first number minus the second plus the third is 3.
x - y + z = 3
:
 The first minus the third is 1 more than the second.
x - z = y + 1
rearrange to:
x - y - z = 1
:
Add to the 1st equation
x + y + z = 9
x - y - z = 1
----------------addition eliminates y and z, find x
2x = 10
x = 5
:
Substitute for x and add the 1st two equations
5 + y + z = 9 >>>> y + z = 9 - 5 >>>> y + z = 4
5 - y + z = 3 >>>>-y + z = 3 - 5 >>>>-y + z =-2
................................................--------------------
...................................................................2z = 2
z = 1 
:
I'll let you find y


 Find the numbers.
What is the first number? _____
What is the second number? ______
What is the third number? ______