How to solve a simultaneous quadratic and linear equation

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Visit www.3minutemath... for quick reminder High School GCSE mathematics videos.
This video is all about how to solve a simultaneous quadratic and linear equation and forms part of the playlists 'answers to tough questions' and GCSE Higher revision.
The question is aimed at A grade (level 7) or above:
xsquared + ysquared = 29
y - x = 3
It's best solved by using algebra to substitute y = 3 + x in place of the y in x^2 + y^2 = 29. You're going to get two solutions, as the line crosses the circle at two points.
I hope the video helps and please do leave a comment - thanks!
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Опубликовано:

5 окт 2024

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Комментарии : 270

@martinmathew991 6 лет назад

You explain slowly, that is very helpful to struggling learners. Your explanation is simple, 100% easy to understand. Great work!

@ferdinandjerome4783 4 года назад

Aak Fjfjkfnfhfkg Bcbue'ktf Gnvncgbf Cbcbbv Nbvdb fb f .bcjb Bnfjff Cjvgbh Ghvhhhj Gbgn h''hj Kgbnkb Anfejd 'fjeef Aide

@ferdinandjerome4783 4 года назад

Daafbh

@ArchaicGhost 7 лет назад

You're more helpful than my actual maths teacher but I still want to cry in a corner cause it's maths😢

@Dotto19 5 лет назад

Karani hahah!!

@ethanbradbury1706 4 года назад

this is jokes

@annmaryabraham7322 4 года назад

i'd say its nicer to say "helpful" not "useful" , coz yk he's a person not a tool....idk if ppl agree with this or if it's just my personal pet peeve or smthin

@ItsMe-eu9br 3 года назад

Literally same, maths is so hard!

@OmniversalInsect 3 года назад

at least its not english, english is hell and torture

@afnankhurram8262 6 лет назад

Maths paper 1 gcse tommorow, this was the last topic i was un certain on, thank you many respects

@mickw7152 4 года назад

I like how you gave a real life example of how to find the x & y co-ordinates of a line that cuts a circle. Very clear explanation for a parent who left school 30+ years ago.

@eshachintaram624 7 лет назад

great explanation..Thanks a lot...

@3minutemaths 7 лет назад

Glad to help and all best S :-)

@YourKeysinMT 8 лет назад

I did not go far with math in high school, I got algebra, some geometry, and that's all. It's been 4 years since my last math class and i'm going to be taking a college placement test soon. Your way of explaining things and your teachings make it easy to understand it, the first time. Thank you much!

@3minutemaths 8 лет назад

+Tristan Mihm - That's great, glad to help and all best S:-)

@abdullahimukaila3885 7 лет назад

Maybe you should try to increase your hand writing........ But you got me man always..

@3minutemaths 7 лет назад

Lol, will try and glad to help :-)

@adamvalentine8101 5 лет назад

shut up

@heather8777 5 лет назад

@@adamvalentine8101 unnecessarily rude, the original comment was just giving constructive criticism. It was not an insult but rather feedback.

@ehwhynot7631 4 года назад

Heather :P shush

@familyguy9149 2 года назад

I love the way you explain , you explain slowly and it's easy to understand

@3minutemaths 2 года назад

That’s great and very glad to help. All best with your studies S :-)

@doyouknowdawae2625 5 лет назад

I was just checking over this from my maths teachers’ example taught, this was a very helpful check-up for me. Thank you.

@kinggsbf980 7 лет назад

Very helpful! Thank you. Although there could be an improvement as I had a good understanding of what you were talking about, and the fast pace and skipped steps were fine, but If I didn't have the prior knowledge I feel it would have been very hard to follow. Anyway good vid, Cheers mate

@ilikebands6666 7 лет назад

THANK YOU SO MUCH for your videos!! feel more confident about the new 9-1 mock exams tomorrow!

@3minutemaths 7 лет назад

That's great and all best with your mocks! :-)

@samideluca8040 4 года назад

This literally just saved my math grade thank you sir

@Maysey9241 6 лет назад

Thank you! This helped me so much, might acc have a chance in T4

@visheshagarwal9008 4 года назад

(x+y)² = x²+y²+2xy You can use this formula too for finding it.

@Shawn47474 5 лет назад

"You might wanna slow the video down a little bit" Nah i increased it to 1.25 so its much better

@aayushkal9867 4 года назад

SAME

@sh1vy 3 года назад

I increased to 2x

@J_jay123 2 года назад

I love you so much... i've never been taught this but was given a similar question...i saw your similar video to this and i understood instantly then i came across this one and tried to solve it myself before the video started and i got it...thank you so much you are really helpful.

@3minutemaths 2 года назад

That’s great and very glad to help - all very best S :-)

@francescoiaia2o 6 лет назад

You saved my life!!!!!!!!!!!!! Well explained. First time that I do this equation and I could come up with the result, thanks this video :) . Thank you so much!!!!

@ameeralarabic678 6 лет назад

Thank you so much from the bottom of my heart we need more people like you in the world

@francisodeh2104 7 лет назад

you are really good in the explanation and solving.i'm ready to learn a lot from you, and i love to be better than you.

@georgewood00 8 лет назад

Legend. Cheers man

@3minutemaths 8 лет назад

Glad to help and all best S :-)

@m.u972 7 лет назад

Good explanation . thanks all the way from South Africa

@limlisaa9609 5 лет назад

If I truly were the catlord who ruled the land of strawberries, I would give you a share of my land😭YOU'RE A LIFESAVER

@simoneoliver7379 5 лет назад

strawberry catlord WTAF? 😂

@cdmpd1162 3 года назад

Thank you Thank you Finally someone i can understand no waffle what so ever*

@beenusirimanne 5 лет назад

His explanation is so easy to go along with even for a beginner. So helpful!!!

@daylee0855 6 лет назад

I have zero idea on this and I have an exam on it. Great!

@alicebrunt884 6 лет назад

very helpful for a gcse further maths student, thank you :)

@usernotfound162 4 года назад

This the difinition of a legend♥️♥️much love

@aminahagha1160 7 лет назад

thank you so much it was extremely helpful

@3minutemaths 7 лет назад

Glad to help and all best S :-)

@cn5233 4 года назад

This has been sooooo helpful! Now I understand! Thank you very much!!

@asxtro2825 2 года назад

thank you this was very quick and simple and i understood easily

@3minutemaths 2 года назад

That’s great and glad to help - all very best S :-)

@archjanasivasuthan6252 6 лет назад

But 2x^2 +6x-20 is 2(x+5)(x-2) , so wouldn't the answer to x be different?

@codingwithoutbordersonline1945 5 лет назад

Lol, my reply is a bit late haha but I got the same answer as him so I think your method is incorrect.

@connorbyrne422 5 лет назад

Ya that's what I was thinking coz like he divided by 2 but then I'm sure you have to show it tho

@ilikedoingstuff4633 3 года назад

This video is better than my math teacher giving a 100 lesons. LOL🤣

@NischalTube 7 лет назад

Like your teaching Simon! easy substitution approach!

@3minutemaths 7 лет назад

Glad to help and all best S :-)

@jaleelthorpe6831 6 лет назад

This was so helpful for my hw

@bantercomedy4947 8 лет назад

sir can you do a video on completing the square please and similar shapes when you need to work out a side of a shape that looks identical to another for example you have 2 cylinders that are identical you are given 1 cylinder that has enlarged sides and the others small and you need to work out n (Unknown) bit of a mouth full i know sorry.

@3minutemaths 8 лет назад

+BanterComedy - Hi - here's a vid on completing the square ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-73d9Xpl96T4.html and I'll look into similar shapes and let you know when done. All best S :-)

@bantercomedy4947 8 лет назад

thank you very much sir. You are the best teacher.

@incomplete6614 2 года назад

Doubted at first, really grateful man😁

@3minutemaths 2 года назад

That’s great and glad to help - all very best S :-)

@Macooasme 8 лет назад

Thank you! I didn't lose much in my algebra test.

@3minutemaths 8 лет назад

+Mohamed Elzarkouny - That's great and glad to help :-)

@nathanandsopa 5 лет назад

Thanks Simon, I understood everything, though it might have been helpful to mention that (a.c) should add up to (b) while factorising.... and perhaps to correct the circle graph.

@edforever6299 5 лет назад

How would you determine x if when you factorise it, it is like this: 5x(x+4) for example. Great video though!

@3minutemaths 5 лет назад

Hi - you can only work out X if the equation is equal to something. In your example, if you made it equal to 3, you’d get: 5x(x + 4) = 3 Expand to 5xsquared + 20x = 3 Or 5xsquared + 20x - 3 = 0 You could then use the quadratic formula to find out if x has any values. Hope this helps and all best S

@edforever6299 5 лет назад

@@3minutemaths thanks for the help! You now have a new subscriber!

@demitriafallscon2732 2 года назад

Man your videos are always super easy to follow! Revising physics and some algebra for uni and I stumbled upon this. I always wonder what math is used for... especially this... what can be substitution used for? Like in real life, could it be used for something? Figuring out something? Physics? Engineering? Tougher equations? It bothered me that in high school we just learned things to learn things but never really got an answer what these equations could be used for or what's the point of learning them. Could you give me an answer good sir?

@3minutemaths 2 года назад

Hi - thanks for this and completely appreciate your comment. Personally I see maths through Engineering due to my previous career ... for me, most maths was very real. I could see how important it was to understand the effects of mass, gravity, momentum, force, friction, heat etc - maths is really just the language we use to describe these things. High School maths tends to provide a basic foundation; depending on your career, it might become less or more important. Either way it's great that you're asking the questions 🙂 Here's a post on my site that might be of interest: www.3minutemaths.co.uk/what-use-is-a-quadratic-equation/ Best S

@dhavishsinghbissessur5004 7 лет назад

Great explanations sir. What i couldnt understand in 2 hours of class,i did it here in 7 mins . Thanks !

@overpowered5919 4 года назад

finallyyyyyyyyyyyyyyyyyy someone that actually explain hard questions

@uzma191 4 года назад

This was the question i needed help on😁

@lifeofshenny 3 года назад

Thanks for this, really helped!

@eliasabbas8450 5 лет назад

You're a hero man thanks

@zahrasarchivesss 4 года назад

crying while he was explain the whole thing>>>>>>>>>>>

@luciamusic3821 5 лет назад

this helped me so much thanks mate

@alaadinks6157 5 лет назад

Hi, can you please check if i done it correctly or not, when i factorised i didn't divide by 2, thank you a lot, 2x^2+6x-20=0 -40 and 6 (x+10)(x-4)=0 X= -10 x= 4 y=3+x y=3+(-10) y= -7 y=3+x y=3+4 y= 7 (-10,-7) (4,7)

@chrisgibbons5388 6 лет назад

You made this look very straight forward - thank you!

@Lionel_Messi-103 2 года назад

An excellent explanation.. Thank you 👍👍👍

@3minutemaths 2 года назад

Very welcome and glad to help - all best S :-)

@blazer2632 4 года назад

Great video and very well explained. Keep it up!! 👍

@sorayaf894 4 года назад

hey, this video was very helpful thank you! i just have a question for one of my tests and i tried to look every were but still cant find an answer. the question is 2p^2 - p = 15. i know p=3 because i worked it out kind of guessing but i want to know how you would come to an answer like this in case i have questions with higher numbers. I know that p is three but can one of you guys tell me without being smart -so it is easy for my to understand- how to do it?

@3minutemaths 4 года назад

Hi - Glad the video helped. Here's a link to a playlist that might be useful ... I've also added a video with your specific question: ru-vid.com/group/PLPglScc3TJ-Ov7F1_VRLUQ7Ecf5PrQ-T3. Hope it helps and all best S

@lydiathomas70 3 года назад

thanks it makes sense very helpful

@_sadgirl_8730 5 лет назад

I finally get it! honestly can't thank you enough :)

@rosieosabutey6579 6 лет назад

Nice video, sir. Please upload more for trigonometry, calculus. :D

@piinballwizard8073 4 года назад

Really helpful, thanks!

@mckenziemiller9122 4 года назад

Thank you so much for taking the time to explain this problem!!!!!

@bestalpha34 4 года назад

thanks man you are a boss nice warm smile to begin a vidieo

@Lordknight13 5 лет назад

Thank you sir.Im really grateful to have found this really easy tutorial.

@mohahassen8071 6 лет назад

hi sir this lesson is very good i like it thank you

@niamhmcmurray9512 5 лет назад

Thank youuuu

@lissyharper9256 5 лет назад

This video was so helpful!! Thank you for making this :)))

@tinashegarakasha1810 3 года назад

Very helpful!

@hug-z 3 года назад

Thanks, helpful video

@gracesss1272 5 лет назад

Thank you so much!

@IfeeSandy 6 лет назад

Thanks for the help

@saihbahussain1734 7 лет назад

This helped me so much 💙👍

@HazWatson 5 лет назад

cheers mate

@NafisIshtiaq 4 года назад

Thanks a lot sir .

@elvinto2945 6 лет назад

This was really helpful thx :)

@quyenphamova 7 лет назад

Shouldn't the second coordinate be (-2, -1) as I thought when x = -2, substitute into the equation y = 3 + (-2); y should be -1? Correct me if I'm wrong. Thanks for this video though!

@blobster1013 7 лет назад

X = 2

@xxniobexx1454 3 года назад

thank so much you've explained this in a way i understand which has allowed me to complete my assignment :)

@meghan2804 8 лет назад

Ah, this was great! Thanks so much!

@3minutemaths 8 лет назад

Glad to help and all best S :-)

@fishstring 3 года назад

thank you so much

@xxomgitswillxx4146 8 лет назад

Thanks! Can finally do these more difficult ones now

@3minutemaths 8 лет назад

+xXOMGitsWIllXx - Glad to help and all best S :-)

@ayoyimikaemmanuel3607 3 года назад

Thank you 😊

@edward2291 6 лет назад

thanks alot for this video!

@Blessed_and_Stylish 2 года назад

5 years later! Thank you...

@3minutemaths 2 года назад

Glad to help and all very best S :-)

@williejr736 6 лет назад

Really benefiting

@gecko2023 6 лет назад

Thank you

@BobBob-uv9fq 2 года назад

It’s so easy with teacher ,practice,obviously this is probably the easy one

@rosieosabutey1448 6 лет назад

Love this video. Please make more :)

@umimahhussain8465 6 лет назад

THANK-YOU SO MUCH

@alexblacker6308 8 лет назад

Just found your channel! Very helpful videos, will use for revision! 😊

@3minutemaths 8 лет назад

+Sam Blacker - That's great and all best with your studies :-)

@onelean838 5 лет назад

Great video

@humairamulla1358 2 года назад

thank you soooo much like i was so confused

@3minutemaths 2 года назад

Glad to help and all very best S :-)

@humairamulla1358 2 года назад

@@3minutemaths thank you

@thedubmeister6976 5 лет назад

can you do the part you did with x with y , i cant re arrange the equation to make it y = so therefore are left to substitute the y into the x squared instead of the x into the y squared

@3minutemaths 5 лет назад

MorganFxrmer Yes, you could, either way will work. Here’s another example How to work with simultaneous equations - eliminating x ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-J_b4yIMUiSw.html. Best S

@hashimalsmael3396 3 года назад

thanks that means a lot

@taikhoom7280 4 года назад

Y 5 and x 2

@lba8885 6 лет назад

This was great!

@sea5205 7 лет назад

Thankyou!

@JC3DGAMER 7 лет назад

How would I present my answer to a question of this type on an exam paper?

@elizabethjane4397 7 лет назад

Simon Deacon, PLease can you tell me how sometimes when you factorise and there is a coefficient before a^2 how it equals a fraction?

@3minutemaths 7 лет назад

Hi - no prob, although please can you give me an example? Best S :-)

@TheOne.-1 4 года назад

Thanks i am much better at algebra now

@xxxxx2848 6 лет назад

What if the in the original two equations, the y is squared?

@3minutemaths 6 лет назад

Hi - that could be done but it might be a little complex. Have you got an example and I'll try to help? Best S

@xxxxx2848 6 лет назад

Simon Deacon Thank you for replying! The question is : Solve algebraically the simultaneous equations x squared + y squared = 25 Y - 3x = 13 Thx

@Deeholness 6 лет назад

Toffee Munch I’ve just completed this question , when you get down the the simplest form of the equation, use the quadratic formula to find 2 values of x then insert them back into the original to solve for y