Use Cramer S Rule to Find the Solution Set for the System

question 49

Short Answer

Use Cramer s rule to find the solution set for the system. $$\left( \begin{array} { r l } 4 x - y + 5 z & = 31 \\5 y + z & = 23 \\x - 4 y - z & = - 14\end{array} \right)$$ If the equations of the system are dependent, or if a system is inconsistent, so indicate. In those cases enter dependent or inconsistent .

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Definitions:

Payback Period

The time it takes for an investment to generate income or revenue equal to its cost, used to assess the feasibility or risk of an investment.

Cash Flows

The net amount of cash being transferred into and out of a business.

Internal Rate

The interest rate at which the net present value of all the cash flows (both positive and negative) from a project or investment equals zero, used in capital budgeting to measure and compare the profitability of investments.

Nth-Order Equations

Equations that involve derivatives of an unknown function to the nth degree, often found in mathematics and physics.