Three simple equations xzy

X-2y + 2z = -1
2x + y-z = 3
3x + 2y + z = 2

Final Answer:

x =  1
y =  0
z =  -1

Step-by-step explanation:

x−2y+2z=−1 2x+y−z=3 3x+2y+z=2  x−2⋅ y+2⋅ z=−1 2⋅ x+y−z=3 3⋅ x+2⋅ y+z=2  x−2y+2z=−1 2x+y−z=3 3x+2y+z=2  Pivot:Row1↔Row3  Row2−32​⋅ Row1→Row2 −0.333y−1.667z=1.667  Row3−31​⋅ Row1→Row3 −2.667y+1.667z=−1.667  Pivot:Row2↔Row3  Row3−−2.66666667−0.33333333​⋅ Row2→Row3 −1.875z=1.875  z=−1.8751.875​=−1 y=−2.66666667−1.66666667−1.6666666666667z​=−2.66666667−1.66666667−1.66666667⋅ (−1)​=−0 x=32−2y−z​=32−2⋅ −0+1​=1  x=1 y=−0 z=−1

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