Solve the System of Equations $$\left\{ \begin{aligned}- x + y + 2 z & = 0 \\x + 2 y + z & = 6 \\- 2 x - y + z & = - 6\end{aligned} \right.$$

question 195

Multiple Choice

Solve the system of equations.
- $$\left\{ \begin{aligned}- x + y + 2 z & = 0 \\x + 2 y + z & = 6 \\- 2 x - y + z & = - 6\end{aligned} \right.$$

• A) inconsistent (no solution)
• B) \(x = 2 - z\)
• \(y = z + 2\)
• \(z =\) any real number
• C) \(x = z + 2\)
• \(y = 2 - z\)
• \(z =\) any real number
• D) \(x = z + 2\)
• \(y = z - 2\)
• \(z =\) any real number

---

Definitions:

Dividends

Profit distributions paid out to shareholders by a company.

Shares

Ownership units in a corporation, representing a portion of the company's capital.

Total Percentage Return

A metric that measures the total return on an investment, including both capital gains and dividends or interest, as a percentage of the initial investment.

Dividends

Disbursements from a company to its shareholders, customarily extracted from the company's net income.