Determine Whether the Two Systems of Linear Equations Yield the Same

question 95

Multiple Choice

Determine whether the two systems of linear equations yield the same solutions.
If so, find the solutions using matrices.
$\begin{array} { l } \left\{ \begin{aligned}x + y - 9 z & = - 67 \\y + 5 z & = 31 \\z & = 7\end{aligned} \right. \\\left\{ \begin{aligned}x - 9 y + 6 z & = 76 \\y - 9 z & = - 67 \\z & = 7\end{aligned} \right.\end{array}$

• A) \(x = 0 , y = - 4 , z = 7\)
• B) \(x = 0 , y = 4 , z = 7\)
• C) \(x = 4 , y = 7 , z = 0\)
• D) \(x = - 4 , y = 7 , z = 0\)
• E) The systems yield different solutions.

Detail Nightingale's perspective on the central scientific activity of nursing in health care.

Understand the difference between statistics, parameters, samples, and populations.

Comprehend how sample size affects the sampling distribution, including both the center and spread.

Recognize the impact of incentives on experimental outcomes and the importance of reducing bias in study designs.

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Definitions:

Variable Cost

Outlays that shift in alignment with the quantity of output generated.

Discount Rate

The interest rate used to discount future cash flows of a financial instrument back to their present value, thus reflecting the cost of capital.

Initial Cost

The upfront expense incurred to purchase an asset or start a project, including all relevant expenses.

Cash Inflows

Money coming into a business, typically from operations, financing, or investing activities; crucial for maintaining liquidity.