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Sorry for the title, I don't know how else to put this into words.

Basically I wanted to know how to get the result below:

I have no idea about why the graph is showing X as a diagonal line. How can X by itself be a line which is not constant?

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2 Answers

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$$x=462+0.085x$$$$(1-0.085)x=462$$$$0.915x=462$$$$x=\frac{462}{0.915}=\frac{30800}{61}$$

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Here you want to solve $$x=462+0.085x$$There are two equations $y=x$ and $y=462+0.085x$.

Solving for $x=462+0.085x$ is equivalent to determining the solutions for the system $$y=x \text{ (Denoted by Blue Line) }$$

&

$$y=462+0.085x\text{ (Denoted by Red Line) }$$

The point of intersection of those two lines is your solution. Now we proceed to find the solution.$$(1-0.085)x=462$$$$0.915x=462$$$$x=\frac{462}{0.915}=\frac{30800}{61}$$

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