Finding Transfer Fucntion of a Block Diagram Example (Direct Algebraic Method)

I don't see this method for finding the transfer function of block diagrams as often as I see block diagram reduction rules used, but I like it because you avoid having to draw out the the block diagram at every step.

Timestamps:
00:00 - Introduction
00:40 - Labeling the signals
01:18 - Finding equations for each signal
04:38 - Combining equations and algebra
09:05 - Writing the transfer function
10:10 - Answer

If you have any questions or want to see me make a video about something, please leave a comment below!

Errata:
At 03:26 I said "coming from the left" instead of "going to the left". This is corrected with text over video.

[AkimboOfficial]

These videos were super helpful, thank you!

[Facesfescues]

It looks simple, i will try this method

[ammy]

THANK YOU SO MUCH! Clear and helpful. God bless.

[osohmillicent]

Please can I share a question with you?

[SilentMeek]

It's very good I appreciate it but you are writing your A, B, D, & F like a psychopath 😅