Weekly Math Problem! #4

System of Linear Equations. Typically, when you've encountered this topic in learning math, you've either encountered a system of two linear equations with two unknowns (from an algebra course), or a system of three linear equations with three unknowns (from a college algebra course). I don't recall ever having to solve a system of four linear equations with four unknowns, however, when I saw it I knew that I would be able to solve it. I knew what I needed to do.

Depending on what level of math you've completed, you're aware that you have a few options when it comes to solving a system of four linear equations with four unknowns. To solve this week's problem in completion, you need to recall the following math skills:

    ✔️  Methods for solving systems of linear equations

    ✔️  How to row reduce a matrix

Here goes WMP! #4... 

Happy solving! Check back on Friday, May 29th for the solution, which will be posted below ⬇️.

Shameless plug: Follow me on Instagram @TheYoungeLady

✏️📓 Solution Time! 📓✏️

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So, I thought it would be cool to solve this problem two ways--using the elimination method and by using Guass-Jordan elimination on the corresponding augmented matrix--just to compare how they look and see how many steps each requires to solve in completion.

Elimination Method

Guass-Jordan Elimination Method

The elimination method definitely required less steps as compared to the Guass-Jordan elimination method. As you can see, when done correctly, either method will yield the same solution. 👍🏿 The substitution method can also be used. I must say, there was something strangely sort of calming from row reducing the matrix. But then again, I'm not your typical person. 🤷🏿‍♀️ I definitely plan on having a problem from linear algebra for an upcoming WMP!  

 

◾️ Did my solution match yours?? 

◾️ Which method do you prefer when solving a system of four linear equations with four variables??

◾️ Comment below with your responses and let me know what you thought about this week's problem.

See you soon for WMP! #5 😉😁

Cheers!

The Younge Lady