Find All the Solutions (If Any) of the Given System $\begin{aligned}- \frac { 3 } { 7 } x + \frac { 2 } { 5 } y & = \frac { 2 } { 35 } \\3 x + 29 y & = - 64\end{aligned}$

question 38

Essay

Find all the solutions (if any) of the given system.
​ $\begin{aligned}- \frac { 3 } { 7 } x + \frac { 2 } { 5 } y & = \frac { 2 } { 35 } \\3 x + 29 y & = - 64\end{aligned}$ ​
If the equations of the system are redundant, or if a system is inconsistent, so indicate.

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Definitions:

Transformation Reagent

A chemical used to bring about a structural change in a molecule during synthesis.

Major Organic Product

The main substance produced in the greatest quantity from an organic chemical reaction.

Expected Product

The outcome that is predicted to be formed when a chemical reaction goes to completion.

Reaction Structure

The detailed atomic arrangement and connectivity of the molecules involved in a chemical reaction, including bonds formed and broken.