SOLUTION: x-2y+3z=6 -x+y+z=4 X+y-3z=-6

Question 1004895: x-2y+3z=6
-x+y+z=4
X+y-3z=-6

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
x-2y+3z=6
-x+y +z=4
x +y-3z=-6
===============
x-2y+3z=6 Eqn 1
-x+y +z=4 Eqn 2
----------------------- Add
-y + 4z = 10 Eqn A
========================
-x+y +z=4 Eqn 2
x +y-3z=-6 Eqn 3
----------------------- Add
2y - 2z = -2 --> y - z = -1 Eqn B
=============================
-y + 4z = 10 Eqn A
y - z = -1 Eqn B
========================= Add
3z = 9
z = 3 ****************************
y - z = -1 Eqn B
y = 2 ****************************
-x+y +z=4 Eqn 2
-x + 2 + 3 = 4
x = 1 ****************************
--> (x,y,z) = (1,2,3)

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