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Solve the System 6x3y+7z=7x+2y7z=103x+2y8z=16\begin{aligned}- 6 x - 3 y + 7 z & = - 7 \\- x + 2 y - 7 z & = - 10 \\- 3 x + 2 y - 8 z & = - 16\end{aligned}

question 67

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.
- 6x3y+7z=7x+2y7z=103x+2y8z=16\begin{aligned}- 6 x - 3 y + 7 z & = - 7 \\- x + 2 y - 7 z & = - 10 \\- 3 x + 2 y - 8 z & = - 16\end{aligned}


Definitions:

Successfully Resisted

The act of effectively opposing or standing firm against an opposing force or influence.

Non-Importation Movement

an organized effort to stop importing goods from Britain during the American colonial period as a protest against taxes and British regulation.

West Indies

A region in the Caribbean, consisting of numerous islands that were historically colonized by European powers.

Sugar Trade

The historical exchange and commerce of sugar as a commodity, significantly impacting global economies and societies, particularly in the colonial period.

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