SOLUTION: Linear System {{{2x+3y-z=14}}} {{{x-y-z=0}}} {{{3x+2y-3z=15}}} x= y= z=

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Question 20089: Linear System
2x%2B3y-z=14
x-y-z=0
3x%2B2y-3z=15
x= y= z=
Answer by vidyamanohar(13) About Me  (Show Source):
You can put this solution on YOUR website!
2x%2B3y-z=14....(i)
x-y-z=0...(ii)
3x%2B2y-3z=15....(iii)

subtracting 3 times (ii) from (iii), we get
5y=15 which gives y=3
subtracting (ii) from (i), we get
x%2B4y=14
and using y=3 we get
x=2
using the values of x and y in (i) we get z=-1