Solve the System $$\begin{array} { r } 5 x - 4 y - 2 z + 1 = 0 \\15 x - 4 y + 4 z - 4 = 0 \\8 y + 2 z - 3 = 0\end{array}$$

question 320

Multiple Choice

Solve the system.
- $$\begin{array} { r } 5 x - 4 y - 2 z + 1 = 0 \\15 x - 4 y + 4 z - 4 = 0 \\8 y + 2 z - 3 = 0\end{array}$$

• A) \(\left\{ \left( - \frac { 1 } { 5 } , \frac { 1 } { 4 } , - \frac { 1 } { 2 } \right) \right\}\)
• B) \(\left\{ \left( - \frac { 1 } { 5 } , - \frac { 1 } { 4 } , \frac { 1 } { 2 } \right) \right\}\)
• C) \(\varnothing\)
• D) \(\left\{ \left( \frac { 1 } { 5 } , \frac { 1 } { 4 } , \frac { 1 } { 2 } \right) \right\}\)

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Definitions:

Capital Investment Analysis

The process of assessing the viability and potential return on investments made in long-term assets.

Internal Rate of Return Method

A capital budgeting method used to estimate the profitability of potential investments.

Payback Period

The time it takes for an investment to generate enough revenue to recover the original cost.

Annuity

An investment product offering a regular payout to a beneficiary, commonly employed to generate a steady income for those who are retired.