Solve the System of Equations $\left\{\begin{array}{r}x+4 y-z=3 \\x+5 y-2 z=5 \\3 x+12 y-3 z=9\end{array}\right.$

question 212

Multiple Choice

Solve the system of equations.
- $\left\{\begin{array}{r}x+4 y-z=3 \\x+5 y-2 z=5 \\3 x+12 y-3 z=9\end{array}\right.$

• A)
• \(\begin{array}{l}
• x=3 z+5 \\
• y=z-2 \\
• z=\text { any real number }
• \end{array}\)
• B)
• \(\begin{array}{l}
• x=-3 z-5 \\
• y=z+2 \\
• z=\text { any real number }
• \end{array}\)
• C)
• \(\begin{array}{l}
• x=z-2 \\
• y=-3 z-5 \\
• z=\text { any real number }
• \end{array}\)
• D)\(\text { inconsistent (no solution) }\)

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Definitions:

Amortization

The process of gradually writing off the initial cost of an asset over a period. It's often used in the context of loan repayments or spreading the cost of an intangible asset over its useful life.

Accounts Payable

The amount a company owes to suppliers or vendors for goods or services received that have not yet been paid for.

Financial Statements

Documents that provide an overview of a company's financial condition, including balance sheet, income statement, and cash flow statement.

Impairments

Reductions in the recoverable value of fixed assets or goodwill on a company’s balance sheet, indicating that the asset is not worth its currently stated value.