Math  /  Algebra

QuestionWrite the system of equations as an augmented matrix. {3x+6y6z=542x+3y7z=1067x3y7z=272\left\{\begin{array}{l} -3 x+6 y-6 z=-54 \\ -2 x+3 y-7 z=-106 \\ -7 x-3 y-7 z=-272 \end{array}\right.
Reduce the matrix into reduced row echelon form.
Identify the solution to the original system of equations. (x,y,z)=(4,1,6)×(x, y, z)=(4,-1,6) \times

Studdy Solution
Identify the solution from the reduced row echelon form. The matrix now represents the system:
\begin{align*} x &= 14 \\ y &= 16 \\ z &= 18 \end{align*}
The solution to the original system of equations is:
(x,y,z)=(14,16,18)(x, y, z) = (14, 16, 18)

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