SOLUTION: x+y+z=6 2x-y+z=8 x-2y-z=-19 I need help solving these systems of equations.

Question 471629: x+y+z=6
2x-y+z=8
x-2y-z=-19
I need help solving these systems of equations.
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

.......1
...........2
......3
--------------------------------
.......1
......3......subtract 3 from 1 to eliminate
------------------------

.............a

.......1
...........2
--------------------------......subtract 2 from 1 to eliminate

.............b

.............a.....solve for

.......1..plug in
.........c

now take .....b ...solve for
.......plug it in c

.........c
....solve for
....both sides multiply by

now plug it in .....b and find

........now find

so, solutions are:

check:
.......1

.....round it

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