SOLUTION: THis is a linear systems of equations. SOlve the linear system. Trying to figure out the steps. THanks. : x+2y+3z=7 -x+2y-z=1 -x+y-2z=-2

Question 298286: THis is a linear systems of equations. SOlve the linear system. Trying to figure out the steps. THanks. :
x+2y+3z=7
-x+2y-z=1
-x+y-2z=-2
Answer by amoati(11) (Show Source): You can put this solution on YOUR website!
x + 2y + 3z = 7 -- (1)
-x + 2y -z = 1 -- (2)
-x + y -2z = -2 -- (3)
Adding (1) to (2) yields:
4y + 2z = 8 or simply 2y + z = 4 -- (4)
then adding (1) to (3) yields:
3y + z = 5 -- (5)
so if we make (5) minus (4) that would give us:
y = 1, then using this value in (4) gives z = 2 and finally using these 2 values in (1) gives x = -1
so x = -1, y =1 and z = 2
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