Systems of Equations

Prompt:
Part 1
How can we utilize systems of equations to solve real-world problems? Be specific and give at least 1 example.

Part 2
Using at least 5 complete sentences, reflect on your learning experience in this unit. Examples of points to reflect on include, but are not limited to:

• Things you excelled at/ things you are proud of
• Things you struggled with
• Questions you still have about the topic
• Ways you see this topic being useful to you in the future
• ...and many more

PART 1

We can use systems of equations to solve problems where we need two situations to be equal. For example, I want to be a hairstylist after high school. I could use a system of equations to determine when my costs will equal my revenue based on how much I charge my clients. 

PART 2

When we first started this unit, I did not understand what a "solution" meant or what it meant for equations to be in a system. Now that I know that I'm supposed to look for the point where the two equations are the same (which happens when they cross each other) I can solve them easily. One thing I still don't understand is why we had to learn how to solve the equations with algebra and math when it is way easier to solve them in the calculator. Also, I still have trouble coming up with the equations that describe a real life situation-- I need more practice writing the y = mx+b formula. I think that solving systems of equations can help me in real life by helping me make money and not wasting time or resources.