Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array} { l } 4 x - 5 y - 10 = 0 \\8 x + y - 25 = 0\end{array}$$

question 94

Multiple Choice

Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solutions, give the
solution with y arbitrary.
- $$\begin{array} { l } 4 x - 5 y - 10 = 0 \\8 x + y - 25 = 0\end{array}$$

• A) \(\varnothing\)
• B) \(\left\{ \left( \frac { 135 } { 44 } , \frac { 5 } { 11 } \right) \right\}\)
• C) \(\left\{ \left( \frac { 85 } { 44 } , - \frac { 5 } { 11 } \right) \right\}\)
• D) \(\left\{ \left( - \frac { 6 } { 5 } y , y \right) \right\}\)

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Definitions:

Mechanism

A detailed explanation of the step-by-step process by which chemical reactions occur.

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A substance produced during a chemical reaction.

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Substances or compounds used in chemical reactions to either drive the reaction forward or to detect, measure, and analyze other substances.

Reaction

A chemical change that occurs when two or more substances combine to form a new substance.