Use Inverses to Solve Matrix Equations
Write the Linear System $$9 x - 2 y = 51$$

question 72

Multiple Choice

Use Inverses to Solve Matrix Equations
Write the linear system as a matrix equation in the form AX = B, where A is the coefficient matrix and B is the
constant matrix.
- $$9 x - 2 y = 51$$
$$6 y = 36$$

• A) \(\left[ \begin{array} { r r } 9 & - 2 \\ 0 & 6 \end{array} \right] \left[ \begin{array} { l } x \\ y \end{array} \right] = \left[ \begin{array} { l } 51 \\ 36 \end{array} \right]\)
• B)
• \[\left[ \begin{array} { c c }
• 9 & - 2 \\
• 6 & 36
• \end{array} \right] \left[ \begin{array} { l }
• x \\
• y
• \end{array} \right] = \left[ \begin{array} { l }
• 51 \\
• 0
• \end{array} \right]\]
• C)
• \[\left[ \begin{array} { c c }
• 6 & 0 \\
• 9 & - 2
• \end{array} \right] \left[ \begin{array} { l }
• x \\
• y
• \end{array} \right] = \left[ \begin{array} { c }
• 36 \\
• - 2
• \end{array} \right]\]
• D)
• \[\left[ \begin{array} { r r }
• 51 & - 2 \\
• 36 & 0
• \end{array} \right] \left[ \begin{array} { l }
• x \\
• y
• \end{array} \right] = \left[ \begin{array} { l }
• 9 \\
• 6
• \end{array} \right]\]

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