Question - Parallel Lines and Inconsistent Systems of Equations

Solution:

The equations provided in the image are:1) $$ y = -\frac{5}{4}x + 8 $$2) $$ y = -\frac{5}{4}x - 9 $$To solve these equations, you should first notice that both equations have the same slope, $$-\frac{5}{4}$$, which indicates that the lines are parallel and therefore will never intersect each other. This means there is no single solution (x, y) that will satisfy both equations simultaneously.In other words, there is no solution to this system of equations; it is an inconsistent system.

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