SOLUTION: the sum of three numbers is 12. the frisst number is the differnce of the other two numbers. when you add the other two numbers and subtract 8 the result will be the first number.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: the sum of three numbers is 12. the frisst number is the differnce of the other two numbers. when you add the other two numbers and subtract 8 the result will be the first number.      Log On


   

Question 464153: the sum of three numbers is 12. the frisst number is the differnce of the other two numbers. when you add the other two numbers and subtract 8 the result will be the first number.
Answer by lwsshak3(11628) About Me  (Show Source):
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the sum of three numbers is 12. the frisst number is the differnce of the other two numbers. when you add the other two numbers and subtract 8 the result will be the first number.
...
1) x+y+z=12
2) x=y-z
3) x=y+z-8
..
1)x+y+z=12
4)x-y-z=-8 (rewrite 3)
add
2x=4
x=2
..
1) x+y+z=12
5) x-y+z=0 (rewrite 2)
subtract
2y=12
y=6
z=y-x (rewrite 2)
z=6-2=4
Check:
x+y+z=2+6+4=12
x=y-z, 2=6-4
x=y+z-8, 2=6+4-8