Write the System of Linear Equations as a Matrix Equation $$\left\{ \begin{array} { l } 2 x _ { 1 } + 3 x _ { 2 } = 8 \\4 x _ { 1 } + 5 x _ { 2 } = 16\end{array} \right.$$

question 136

Multiple Choice

Write the system of linear equations as a matrix equation, AX = B. $$\left\{ \begin{array} { l } 2 x _ { 1 } + 3 x _ { 2 } = 8 \\4 x _ { 1 } + 5 x _ { 2 } = 16\end{array} \right.$$

• A) \(\left[ \begin{array} { l l }
• 2 & 3 \\
• 4 & 5
• \end{array} \right] \left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 }
• \end{array} \right] = \left[ \begin{array} { c }
• 8 \\
• 16
• \end{array} \right]\)
• B) \(\left[ \begin{array} { l l }
• 2 & 4 \\
• 3 & 5
• \end{array} \right] \left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 }
• \end{array} \right] = \left[ \begin{array} { c }
• 8 \\
• 16
• \end{array} \right]\)
• C) \(\left[ \begin{array} { l l }
• 2 & 3 \\
• 4 & 5
• \end{array} \right] \left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 }
• \end{array} \right] = \left[ \begin{array} { c }
• - 8 \\
• - 16
• \end{array} \right]\)
• D) \(\left[ \begin{array} { c c }
• 2 & 8 \\
• 4 & 16
• \end{array} \right] \left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 }
• \end{array} \right] = \left[ \begin{array} { l }
• 3 \\
• 5
• \end{array} \right]\)
• E) \(\left[ \begin{array} { l l }
• 2 & 3 \\
• 4 & 5
• \end{array} \right] \left[ \begin{array} { l }
• x _ { 1 } \\
• x _ { 2 }
• \end{array} \right] = \left[ \begin{array} { c }
• 16 \\
• 8
• \end{array} \right]\)

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Definitions:

Debt to Assets Ratio

A financial ratio that measures the percentage of a company's assets financed by creditors through debt, indicating the degree of financial leverage.

Total Debt

The sum of all liabilities, both current and long-term, that a company owes.

Long-Term Liabilities

Financial obligations of a company that are due beyond one year from the balance sheet date.

Convertible Debt

A type of bond that can be converted into a predetermined number of shares of the issuing company.