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Y= 19x + 4 X - 2y= 12

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Final answer:

The question deals with high school level mathematics, focusing on solving systems of linear equations and manipulating and understanding equations representing a line of best fit and parallel lines.

Step-by-step explanation:

The question involves solving systems of linear equations, which is a concept taught in high school mathematics. When given an equation in the form Y = 19x + 4 and another equation X - 2y = 12, the goal is to find the values of X and Y that satisfy both equations simultaneously. This usually involves either substitution or elimination methods. Furthermore, understanding the concept of a line of best fit and how to manipulate equations to represent data trends is also part of the high school curriculum, tying in topics such as slope and y-intercept, which are crucial to understanding linear relationships.

Looking at various line equations provided, such as Y2 = -173.5 + 4.83x − 2(16.4), illustrates the parallel nature of lines with the same slope. Similarly, analyzing an equation like Y = 140 + 0.9(Y − 0.3Y) + 400 + 800+600 - 0.15Y is an exercise that involves simplifying expressions and solving for Y, which are fundamental algebraic skills.

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