Write the System of Linear Equations Represented by the Augmented

question 77

Multiple Choice

Write the system of linear equations represented by the augmented matrix.(Use variables x, y, z, and w.) $\left[ \begin{array} { r r r r r } 1&0&0&4 & \vdots&-5 \\3&-7&0&0 & \vdots & 3 \\0&-4&8&-1& \vdots &-6\\0&0&3&7 & \vdots &7\\\end{array} \right]$

• A) \(\left\{ \begin{array} { r l r }
• x + 4 y & = & - 5 \\
• 3 x - 7 y & = & 3 \\
• - 4 x + 8 y - z & = & - 6 \\
• 3 x + 7 y & = & 7
• \end{array} \right.\)
• B) \(\left\{ \begin{array} { r l r }
• x + 4 z & = - 5 \\
• 3 x - 7 y & = 3 \\
• - 4 y + 8 z - w & = - 6 \\
• 3 z z + 7 w & = 7
• \end{array} \right.\)
• C) \(\left\{ \begin{array} { r l r }
• x + 4 z & = - 5 \\
• 3 x - 7 z & = 3 \\
• - 4 y + 8 z - w & = - 6 \\
• 3 z z + 7 w & = 7
• \end{array} \right.\)
• D) \(\left\{ \begin{array} { r l r }
• x - 4 w & = - 5 \\
• 3 x - 7 y & = 3 \\
• - 4 y + 8 z - w & = - 6 \\
• 3 y + 7 z & = 7
• \end{array} \right.\)
• E) \(\left\{ \begin{aligned}
• x + 4 w & = - 5 \\
• 3 x - 7 y & = 3 \\
• - 4 y + 8 z - w & = - 6 \\
• 3 z + 7 w & = 7
• \end{aligned} \right.\)

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