SOLUTION: write the system of linear equations represented by the following augmented matrix [9,4,5|-2] [5,0,9|4] [8,5,0|2]

Question 636094: write the system of linear equations represented by the following augmented matrix
[9,4,5|-2]
[5,0,9|4]
[8,5,0|2]
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The matrix

$\left[ \begin{array}{ccc|c}9 & 4 & 5 & -2 \\5 & 0 & 9 & 4 \\8 & 5 & 0 & 2 \\ \end{array}\right]$

turns into the system of equations

$\begin{array}{rl} 9x+4y+5z &= -2 \\ 5x+0y+9z &= 4 \\ 8x+5y+0z &= 2 \end{array}$

which simplify to

$\begin{array}{rl} 9x+4y+5z &= -2 \\ 5x \ \ \ \ \ \ \ +9z &= 4 \\ 8x+5y \ \ \ \ \ \ \ &= 2 \end{array}$
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