Rather than substitute the 3, you can use the same method of elimination to get rid of the x variable. Subtract the bottom equation from the top. x - x leaves only the y's. y - (-y) (going down) and 8 - (-2). That gives 2y = 10. y = 5. Signs can mess you up on these if you're not careful. BTW, we called these "simultaneous equations" when I was in school. I don't know how that popped into my head after 60 years, but I was able to get the answer and was delighted that it worked.
Greetings. The answer has to be the solution that contains X equals positive 3. Looking on the given expressions, one can readily see that if the expressions are added together the result will be 2X=6 from which it can be determined that X=3. Moving forward, the value for Y can just as easily be determined by substituting the value for X into either one of the equations to get 5 if you need to do the extra work.
At the title card, my answer is c> 3, 5. The two numbers have to add up to 8, and the larger must be 2 larger than the smaller, thus only 3 and 5 fit the conditions.
That's why I always liked multiple choices questions in school. But we need the whole video if we want to be able to solve this linear system when we don't have the luxury of multiple choices. At one point I will know exactly what to do with a linear system when I see one but I need more practice. ;) I never thought I would do maths again on a regular basis but thanks to your channel here I am. :) Thanks! p.s.: The sound is back! Yeah!!!!!
@@jerryrowen1 Then go check Brian McLogan. You should like him. He speaks less but he speaks fast also. Personally I alternate between John and Brian and the asian guy who makes a lot of "shorts".
Just substract the two equations resulting in 2y = 10 so y = 5 and answer C is the only possible answer so no further need to procede the calculation. You could check the answer with x + 5 = 8 so x = 3 or x - 5 = -2 again x = 3. Or even substitute answers A to D in the equations to find C is the right answer.
Didn't watch all of this. But I am a great fan of the substitution method. So take the second equation. Move the x to the opposite side to give -y = -2-x. Which gives y = 2+x. Substitute this expression for y into the first equation. This gives x + 2 + x = 8. Move the 2 to the opposite side to give x + x = 8-2. And even I who struggle with maths can see that x must equal 3. So y must equal 5. And you can always prove by putting these values into the second equation. Like I say, I am no mathematician, but I always get a kick out of this method cos of its prettiness.
It's c) 3 and 5 3 + 5 = 8 3 - 5 = - 2 But here is how to work it out if we didn't have the choice of answers. x + y = 8 x - y = - 2 so .. 2x = 6 x = 3 and y therefore = 5
Do you have more video about graphing, slopes? That is one think I never understood. Putting the equations on a graph, different ways to do it, slopes- it's all black magic to me, and I can do calculus.
Why turn an easy problem into a 19 minute long difficult problem. 1. Subtract the two equations. X + Y = 8 - (X - Y) = -2 ------------------- flip the signs in the lower equation as part of the subtraction process X + Y = 8 + (-X + Y) = 2 ---------------------- 2Y = 10 the result of the subtraction Y = 10/2 = 5 divide both sides by Y resulting in Y = 5 2. Plug 5 in for Y in each equation to give X X + 5 = 8 subtract 5 from both sides X = 8 - 5 = 3 resulting in the value of X X - 5 = -2 add 5 to both sides X = -2 + 5 = 3 resulting in the value of X 3. Proof X + Y = 8 3 + 5 = 8 X - Y = -2 3 - 5 = -2 X = 3, Y = 5. The answer is C (3,5)
Not a big deal . First , add the two equation , and you get 2x=6 . Divide this equation by 2 , and you get x=3 . Now , substitute x=3 into x+y=8 ===> 3+y=8 . Subtract 3 from both sides , and you get y =5 . The answer to the original set of equations is then x=3 and y=5 . No need to go on and on for 19 minutes .
To the geniuses here who failed to see that this is instructional video to help mostly students and those who want to exercise their brain, this is not for you. Find others you can bully.
I agree but I’ve taken higher level math classes- there are some people out there that really struggle with this stuff and I think this is geared toward those people- it’s obvious to me that we can eliminate y by adding the equations together and get 2x=6 making x=3 and then we can sub 3 for x and get y=5 but some kids don’t catch that quite as easily and need the longer explanations- also TH-cam algorithm needs the videos to be a certain length I think
Many will get wrong. So what were they doing in grade 10. And since you know so much can you give me the winning lottery numbers for today. Thanks. Have a great day
I thought X plus Y was a boy and X - Y and another X is a girl. LoL my teacher didn't think it was funny I got an F he said it was for funny not F for the grade.
It's a seven second problem and he's teaching how to work the problem who might not know. If it took you a minute, you need the 19 minute video. ( And 7 seconds is generous for the slow students)
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Rather than substitute the 3, you can use the same method of elimination to get rid of the x variable. Subtract the bottom equation from the top. x - x leaves only the y's.
y - (-y) (going down) and 8 - (-2).
That gives 2y = 10.
y = 5.
Signs can mess you up on these if you're not careful.
BTW, we called these "simultaneous equations" when I was in school. I don't know how that popped into my head after 60 years, but I was able to get the answer and was delighted that it worked.
It is easier to add the two equations. 2x = 6. x =3.
C) X=3, Y=5
(3,5) & Check into both equations . Correct ... C (3,5)
Greetings. The answer has to be the solution that contains X equals positive 3. Looking on the given expressions, one can readily see that if the expressions are added together the result will be
2X=6 from which it can be determined that X=3. Moving forward, the value for Y can just as easily be determined by substituting the value for X into either one of the equations to get 5 if you need to do the extra work.
At the title card, my answer is c> 3, 5.
The two numbers have to add up to 8, and the larger must be 2 larger than the smaller, thus only 3 and 5 fit the conditions.
That's why I always liked multiple choices questions in school.
But we need the whole video if we want to be able to solve this linear system when we don't have the luxury of multiple choices.
At one point I will know exactly what to do with a linear system when I see one but I need more practice. ;)
I never thought I would do maths again on a regular basis but thanks to your channel here I am. :)
Thanks!
p.s.: The sound is back! Yeah!!!!!
You would not like MCQ if the possible answers included: e)All of the above; d)None of the above.
He talks too fast and too much.......
He reminds me of my female teachers.
Absolutely pityful
@@jerryrowen1 Then go check Brian McLogan. You should like him. He speaks less but he speaks fast also. Personally I alternate between John and Brian and the asian guy who makes a lot of "shorts".
Just substract the two equations resulting in 2y = 10 so y = 5 and answer C is the only possible answer so no further need to procede the calculation. You could check the answer with x + 5 = 8 so x = 3 or x - 5 = -2 again x = 3.
Or even substitute answers A to D in the equations to find C is the right answer.
Didn't watch all of this. But I am a great fan of the substitution method. So take the second equation. Move the x to the opposite side to give -y = -2-x. Which gives y = 2+x. Substitute this expression for y into the first equation. This gives x + 2 + x = 8. Move the 2 to the opposite side to give x + x = 8-2. And even I who struggle with maths can see that x must equal 3. So y must equal 5. And you can always prove by putting these values into the second equation. Like I say, I am no mathematician, but I always get a kick out of this method cos of its prettiness.
It's c) 3 and 5 3 + 5 = 8 3 - 5 = - 2
But here is how to work it out if we didn't have the choice of answers.
x + y = 8
x - y = - 2 so ..
2x = 6
x = 3 and y therefore = 5
2x=6 x=3
y=8-x=8-3=5
(3;5)
Do you have more video about graphing, slopes? That is one think I never understood. Putting the equations on a graph, different ways to do it, slopes- it's all black magic to me, and I can do calculus.
(3,5) simple
The span from 8 to -2 is 10, half of which is 5, so y = 5; from there, it follows that x = 3, so the correct answer is C.
c)(3,5)
Thanks to Gauss I was able to figure it out in my head.
... in 30 sec
The *y* eliminates with no effort. Once you have *x* then rest just falls into place like butter.
@@M3ANDER That's true... it's so easy... approx. 20min vid it's to much
With multiple choices I just “plugged in” each solution until 3,5 worked, otherwise it’s a simultaneous equation to be worked out.
C3, 5
The Answer is C. X=3, Y =5, X + Y = 3+5 = 8 and X-Y= 3 - 5 = -2
SIMULTANEOUS EQUATIONS
The best tool for 2 variables problems!
. c) (3,5)
13:05 the peanut butter and jelly system? What if you're peanut intolerant?
I solved this problem in 2secs by reading the available choices.
From the premise, we know y > x and x + 2 = y.
Mindset is really important; I'm a person who is easy to give up, never do good at math, but this way really helps.
Why turn an easy problem into a 19 minute long difficult problem.
1. Subtract the two equations.
X + Y = 8
- (X - Y) = -2
-------------------
flip the signs in the lower equation as part of the subtraction process
X + Y = 8
+ (-X + Y) = 2
----------------------
2Y = 10 the result of the subtraction
Y = 10/2 = 5 divide both sides by Y resulting in Y = 5
2. Plug 5 in for Y in each equation to give X
X + 5 = 8 subtract 5 from both sides
X = 8 - 5 = 3 resulting in the value of X
X - 5 = -2 add 5 to both sides
X = -2 + 5 = 3 resulting in the value of X
3. Proof
X + Y = 8
3 + 5 = 8
X - Y = -2
3 - 5 = -2
X = 3, Y = 5. The answer is C (3,5)
got it 3, 5 thanks for an easy substitution.
D(4;4)
X = 5& y=3 answer will arise is 5 + 3 = 8 & 8-3 5 is real outworking.
Y=5 and x=3
Not a big deal . First , add the two equation , and you get 2x=6 . Divide this equation by 2 , and you get x=3 . Now , substitute x=3 into x+y=8 ===> 3+y=8 . Subtract 3 from both sides , and you get y =5 . The answer to the original set of equations is then x=3 and y=5 . No need to go on and on for 19 minutes .
Ok
√2/√2 6/2 √1/√1 6/2=3 (x+3x-3)
This is the easiest problem you've ever had, I did it in my head in 10 seconds!
looks like y=5, so C
If you were told if can’t explain this equation in 3 minutes you will turn into a pumpkin, you would be on your way to the pie factory.
Twenty minutes to show how to solve a fifteen second problem??? Thank goodness I never had a math teacher like this.
Shalom everyone
Got the answer . Add the two equations first
It will cancel the ys
I got it, but it took me an embarrassingly long time. I'm 71, so I'm a bit out of practice.
To the geniuses here who failed to see that this is instructional video to help mostly students and those who want to exercise their brain, this is not for you. Find others you can bully.
C
C. (3,5)
If in doubt the answer is always C. No math required.
a) (_3,_5)
3,5
(3,5)
Yea. 😊
Tough one. Took me about an hour and I still got it wrong.
I think you could have explained this in two minutes max.
I agree but I’ve taken higher level math classes- there are some people out there that really struggle with this stuff and I think this is geared toward those people- it’s obvious to me that we can eliminate y by adding the equations together and get 2x=6 making x=3 and then we can sub 3 for x and get y=5 but some kids don’t catch that quite as easily and need the longer explanations- also TH-cam algorithm needs the videos to be a certain length I think
C.
Many will get wrong. So what were they doing in grade 10. And since you know so much can you give me the winning lottery numbers for today. Thanks. Have a great day
IT REALLY DOES NOT MATTER
Hell yes, I finally got one right, 🤣
I thought X plus Y was a boy and X - Y and another X is a girl. LoL my teacher didn't think it was funny I got an F he said it was for funny not F for the grade.
X=3
c
Your nickname is sleep aide?
Too much explaining
too basic
Very simple ,one min problem .why 19 min vedio?
It's a seven second problem and he's teaching how to work the problem who might not know.
If it took you a minute, you need the 19 minute video. ( And 7 seconds is generous for the slow students)
You get worse every day¡!!!!!!!!!!!!!!!!!!😢
3 , 5
C) (3,5)
D(4,4)
C
C
C
C
C
C