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2x-z=10 y+2z=-2 3x-2y=8 please help
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2x-z=10 -> Z = ....?
?
2x-10?
Correct, now replace 2x-10 into y+2z=-2
y+4x-20
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nm
y + 2z = -2 y + 4x -20 = -2 Can you simplify it?
y+4x=18
3x-2y = 8 4x + y = 18 Can you solve it?
7x-y=26?
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No, you need to multiply 2 ( 4x + y = 18 )
\[\begin{bmatrix} 2 & 0 & -1\\ 0 & 1 & 2\\ 3 & -2 & 0 \end{bmatrix}\begin{bmatrix} x\\ y\\ z \end{bmatrix}=\begin{bmatrix} 10\\ -2\\ 8 \end{bmatrix}\Longrightarrow\begin{bmatrix} x\\ y\\ z \end{bmatrix}=\begin{bmatrix} 4\\ 2\\ -2 \end{bmatrix}.\]Use that to check your solution.
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