Systems of Equations Word Problems

[@mjr697]

TYSM 🙏🏻 I'm watching this video right now as I'm cheating on the test! Came in clutch! 🙏🏻🙏🏻🙏🏻

[@Greenemath]

Referencing material to get a solution is not cheating. Hopefully you passed!

[@adekanyinsolaadetoyosivide3613]

And a 😮

[@lineberry1265]

nice

[@arctic9409]

lol you are a lifesaver my teacher can not teach and I came here to learn everything for the test and got 92% after watching a bunch of your videos ty

[@Greenemath]

You are welcome.

[@Maria-oe9oz]

Thank you so much! This video (second example in particular) was extremely helpful. Thank you!

[@Greenemath]

Glad it was helpful!

[@prosonswitch5385]

thx for the help it got my math class grade up lots of love.

[@Greenemath]

Glad it helped!

[@fooytipeditz6113]

TYYYYYY SM I NEEDED THIS BEEN LOOKING FOR THE ANSWER FOR 5 DAYS U JUST EARNED A FOLLOW

[@Greenemath]

Awesome, glad to hear that!

[@JacobDanielWatson]

you came in clutch! I have a math test in 5 min

[@Greenemath]

I hope you passed! 😎

[@JacobDanielWatson]

@@Greenemath I got an A! Thanks!

[@Greenemath]

That's fantastic news! 😎

[@Shiro-mj3jp]

Im in the math test rn and im trying to solve dis

[@IM-zh9xf]

THIS HELPS ALOT NOW I ‘LL BE ABLE TO DO MY MATH PROJECT TYSM!!!!

[@Greenemath]

You are very welcome, good luck with the project!

[@littlebravesambo]

Thank you 🙏🏽🙏🏽🙏🏽, this video helped me help my daughter.

[@Greenemath]

Glad it helped!

[@thehallsofvalhalla2788]

You are my favorite teacher

[@Greenemath]

I'm glad to hear that!

[@rayrobinson9832]

This really helped! All the way from Cambodia 🇰🇭

[@Greenemath]

Glad to hear that!

[@emilyramirez7296]

this helped a lot !! thank you

[@Greenemath]

Glad it helped! Good luck with your studies :)

[@acec3080]

For the downstream question, I had a similar question in my class but they did it so they split the total distance number in half. I tried doing the same problem without this method, like the way u did it in the video, but i got a different answer than my classmates did before. I am doing it wrong?

[@Greenemath]

If you post your problem and your solution, I can take a look after work. It's impossible for me to know without seeing the problem and your work.

[@acec3080]

@@Greenemath Sorry if i'm bothering you! The question was: A boat traveled 336 miles downstream and back. The trip downstream took 12 hours. The trip back took 14 hours. What is the speed of the boat in still water? What is the speed of the current? My classmates got: 1 mph as the speed of the current and 13 mph as the boat speed. I got: 2 mph for current and 26 mph for the boat. My class and I did the same method, but I used 336 as the whole distance, and the class divided it by 2 to and did the equation like this.

[@Greenemath]

​@@acec3080 No one is ever bothering me, I'm happy to try and help anyone. So here is how I would solve the problem. let x = speed of the boat in still water then y = speed of the current We know that distance = rate x time And in this case, the distance for round trip travel is given as 336 for round trip or 168 for a single trip (in miles of course) So we can set up two equations. Downstream: 12(x + y) = 168 Upstream: 14(x - y) = 168 This is just time multiplied by the rate of speed. The + y is for downstream and the -y is for upstream. So now just solve the system and you get: x = 13, y = 1 So basically the speed of the boat in still water is 13mph and the speed of the current is 1mph. I have some written tutorials and practice on this topic at the website which is free: www.greenemath.com/Algebra1/24/SystemsofEquationsWordProblemsLesson.html There are links at the bottom for the video and the practice test if you want to do more practice. Let me know if you have other questions.

[@RoxyJones3]

This really helped. Thank you!

[@Greenemath]

Glad it helped!

[@panchovilla5400]

I kept solving the problem over and over again. I was doubting myself but I was right!!! Why did you use the same value in the first problem????

[@Greenemath]

pancho, what's the time marker and what value are you speaking of? If you include these in a reply I'm happy to show you what's going in the explanation of the problem. Remember with word problems there are multiple ways to achieve the same answer.

[@youvegotnojams2678]

I have a question about the variables used in the first problem (the one about the senior tickets and child tickets being sold). I noticed that you gave the child tickets the x variable and the senior tickets the y variable. I tried to make an equation on my own first to see if I would nail it before watching the tutorial and I gave the x variable to the senior tickets and the y variable to the child tickets. This is because I saw that the senior tickets came first in the word problem. I was wondering why you gave the x variable to the child tickets instead of the senior tickets. Am I making a big deal about this? Probably, but because I switched the variables I got a different answer in the end. Here's the question just in case: Beth's school is selling tickets to a fall musical. On the first day of ticket sales, the school sold 12 senior tickets and 16 child tickets for a total of $336. The school took in $312 on the second day by selling 15 senior tickets and 11 child tickets. Find the price of a senior ticket and the price of a child ticket.

[@Greenemath]

When you solve word problems such as this one, you can change how you assign things. Your approach is just as valid as what I did in the video. At the end, you will get the same answer for each senior ticket and each child ticket.

[@youvegotnojams2678]

@@Greenemath Thank you! I'm going to redo the question with the variables switched because I'm curious of the result. :)

[@kenkenny3388]

To be honest this looks like algebra 1. I thought algebra 2 starts right after geometry.

[@Greenemath]

Algebra I and Algebra II are basically the same course with some additional material being presented in Algebra II. You basically go through Algebra I all over again.

[@lkern6238]

Can you show celsius and fahrenheit formulas as system of equations plotted on Cartesian plane where they intersect at -40?

[@Greenemath]

Are you still working on this problem?

[@billmimms]

Everything was going well until the upstream (X-Y). Completely lost me. I have zero problem working most problems in algebra. It's usually the set up that kills me. Thanks for the video. The ticket sales was easy.

[@Greenemath]

Just do a lot of practice with word problems. The upstream downstream concept is one that comes up in many problems. Good luck.

[@yesits.llaila7039]

Thank you this really helped !

[@Greenemath]

You're welcome!

[@jennifergarcia4358]

This helped a lot thank youuu

[@Greenemath]

Glad it helped!

[@woah1778]

Ty u kind sir

[@Greenemath]

You are very welcome! :)

[@lineberry1265]

Im in algebra 1 and i learning this

[@Greenemath]

Awesome, good luck with class :)

[@oneforallff5249]

Which grade r u in guys and how old r u?????

[@Greenemath]

Most people would probably answer 8th or 9th grade.

[@luv_gh]

8 grade and 14 years

[@luv_gh]

What about u

[@bella2612]

ty

[@Greenemath]

You are welcome.

[@emelyperez9124]

Yaaassssss

[@Greenemath]

Good luck with your studies :0

[@bade1582]

I hope I will never see this video again cause if I do it mean there’s another bullshit word problem on my test😭

[@Greenemath]

I hope you pass. I used to hate word problems also, everyone does. Good luck :)

[@michellepineda5468]

Why didn’t you subtract 336-16x?😊

[@Greenemath]

Please leave a time marker for your question. Also, please explain why you think there should be subtraction. If you do both of those things, I'll watch that part of the video and give you an explanation as to what's going on.

[@davy5537]

Word problems always confuse me. Tsk

[@Greenemath]

They confuse everyone, it's one of those things that you have to work a lot of to get good at them.