Problem

{x−2y+z=1y+2z=−9x+y+3z=−14

Answer

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Answer

Final Answer: x=−2,y=−3,z=−3

Steps

Step 1 ：Given the system of linear equations: {x−2y+z=1y+2z=−9x+y+3z=−14

Step 2 ：We can represent this system in matrix form as: [1−21012113][xyz]=[1−9−14]

Step 3 ：Solving this system of equations, we find the solution to be: x=−2,y=−3,z=−3

Step 4 ：Final Answer: x=−2,y=−3,z=−3

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