Solve the System $$\begin{array} { l } - 2 x - 5 y + 6 z = 11 \\- x - 2 y - 7 z = - 25 \\7 x + 5 y - 7 z = 16\end{array}$$

question 81

Multiple Choice

Solve the system. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent.
- $$\begin{array} { l } - 2 x - 5 y + 6 z = 11 \\- x - 2 y - 7 z = - 25 \\7 x + 5 y - 7 z = 16\end{array}$$

• A) Infinitely many solutions; dependent
• B) \(\{ ( 6 , - 1,3 ) \}\)
• C) No solution; inconsistent
• D) \(\{ ( 25,0,0 ) \}\)

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Definitions:

Population Age Structure Diagrams

Population age structure diagrams, also known as population pyramids, visually represent the age and sex distribution of a population, providing insights into birth rates, death rates, and life expectancy.

Death Rates

The number of deaths per unit, usually 1,000 or 100,000, of the population in a specified area or group.

Stable Population

A population size that remains consistently within a small range, indicating a balance between birth rates and death rates.

Canadian Residents

Individuals who legally reside in Canada, including citizens, permanent residents, and certain temporary residents.