Solve the System of Linear Equations $$\begin{array} { r r } x + y + z & = 7 \\x - y + 2 z & = 7 \\2 x + 3 z & = 14\end{array}$$

question 216

Multiple Choice

Solve the system of linear equations. If the system has infinitely many solutions, describe the solution with an ordered triple in terms of variable z.
- $$\begin{array} { r r } x + y + z & = 7 \\x - y + 2 z & = 7 \\2 x + 3 z & = 14\end{array}$$

• A) \(\left( - \frac { 3 z } { 2 } - 7,2 z , z \right)\)
• B) \(\left( - \frac { 3 z } { 2 } + 7 , \frac { z } { 2 } , z \right)\)
• C) \(\left( - \frac { 3 z } { 2 } - 7 , \frac { z } { 2 } , z \right)\)
• D) \(\left( - \frac { 3 z } { 2 } + 7,2 z , z \right)\)

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Definitions:

Follicular Cells

Epithelial cells found in the thyroid gland which synthesize and secrete thyroid hormones, or cells surrounding the ovum in an ovarian follicle.

Thyroid

A gland in the neck that secretes hormones regulating growth and development through the rate of metabolism.

Mineralocorticoids

A class of corticosteroids, hormones that are involved in the regulation of electrolyte and water balance, primarily by the kidneys.

PTH

Parathyroid hormone, a hormone secreted by the parathyroid glands that regulates serum calcium and phosphate levels.