Solve the System by Using Any Method $$\begin{array} { l } 9 x - 7 y = 47 \\y = - \frac { 3 } { 2 } x + 10\end{array}$$

question 78

Multiple Choice

Solve the system by using any method. If a system does not have one unique solution, state whether the
system is inconsistent or whether the equations are dependent.
- $$\begin{array} { l } 9 x - 7 y = 47 \\y = - \frac { 3 } { 2 } x + 10\end{array}$$

• A){ } ; The system is inconsistent.
• B) \(\left\{ \left( \frac { 74 } { 39 } , \frac { 93 } { 13 } \right) \right\}\)
• C) \(\{ ( 6,1 ) \}\)
• D) \(\left\{ ( x , y ) \mid y = - \frac { 3 } { 2 } x + 10 \right\}\); The equations are dependent.

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Definitions:

Old Regime

The political and social system of France before the French Revolution of 1789, characterized by absolutism, feudalism, and the privileges of the nobility and clergy.

Marquis de Condorcet

A French philosopher, mathematician, and early political scientist who advocated for a liberal economy, free and equal public instruction, and the abolition of slavery.

Philosophe

A term used primarily to describe the intellectuals of the 18th-century Enlightenment, who sought to apply reason and scientific methods to all aspects of society and human life.

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