Question

The system of equations is coincident.

What are the missing values?
x+3y=5
4x+?y=?

Answer 1

What does coincident mean? Can you define it for me?

Answer 2

Coincident. Two lines or shapes that lie exactly on top of each other. Example: these two lines are coincident, only you can't see them both, because they are on top of each other source: google xD

Answer 3

@retirEEd :o

Answer 4

that's right. Good.
But in practical terms: You still need to find the value of he unknown coefficients.
By what number must you multiply the first equation so that it (the first) starts with the same coefficient as does the second equation?

Answer 5

Um.. 5*4? Idk...

Answer 6

Hello, Are you ready to help me solve it?

Answer 7

Sure.

Answer 8

good.
This very simple question has an assumption. Based on the assumption you can answer to it.
The assumption is : x+3y=5

Answer 9

so, I wanna give you another very simple question.
if X=3 then how much is 2X?

Answer 10

6?

Answer 11

correct!
what did you do?

Answer 12

3*2

Answer 13

very good.
so the assumption was X=3
My question wanted the amount of 2X and you multiplied both sides of the assumption by 2.
Ok?

Now let's get back to your question.
The assumption --> x+3y=5
Which number should be multiplied to both sides of it which makes 4X?

Answer 14

Erm..3y and 5?

Answer 15

if you multiply both sides of the assumption by 2 you will have this:
\[2\times(X+3Y)=2\times5 --> 2X+6Y=10\]
BUT here we made 2X not 4X.
So which number should be multiplied to both sides to make 4X?

Answer 16

6y and10? Or 2x and 10? v-v

Answer 17

No.
as you see, you can multiply both sides of equation to a SINGLE NUMBER not different numbers. For example you can multiply both sides of the assumption to 1 OR 2 OR 3 OR 4.
I gave you an example of multiplying both sides by 2.
We saw there that if we multiply both sides by 2 it will result in 2X+6Y=10. it is not like 4X+?Y=?. because the coefficients of Xs are different. We want them both be the same-> 4

Answer 18

Oh..Whoops.

Answer 19

did you get confused?

Answer 20

Sort of..But it's alright. c:

Answer 21

Ok,
Do you like to multiply both sides by 3?
what will be the result?

Answer 22

2*(x+3y) or 2x+6y=10?

Answer 23

you multiplied by 2. :)
What about 3?

Answer 24

DO NOT GIVE UP! JUST DO IT...

Answer 25

I'm trying..My brain went dead. Sorry. >.<

Answer 26

What are the missing values?
x+3y=5
4x+?y=?

We want the 2 equations to be exactly the same.

Multiply the first equation by 4. Type your answer here.

Answer 27

ahahaha :)
relax. let me help you.
Multiplying by 3 gives this:
3*(x+3y)=3*5 --> 3x+9y=15

Is it similar to 4x+?y=?

Answer 28

Um..Maybe

Answer 29

3x+9y=15
4x+?y=?
they are not similar, because the coefficient of Xs are different. In the first one it's 3 but in the second one it's 4. THAT'S WHY they are not similar. You got it?

Answer 30

Oh.Okay.

Answer 31

:)
very good. YOU ARE UNDERSTANDING IT.
Now what if you multiply both sides by 4?

Answer 32

12?

Answer 33

Or 60.

Answer 34

Multiplying by 4 gives:
4*(x+3y)=4*5 --> 4x+12y=20

are these two similar?
4x+12y=20
4x+?y=?

Answer 35

Yes. :o

Answer 36

:D
yes! they are similar. BECAUSE the coefficients of Xs are similar.

Answer 37

Omg..Thank you for being patient with me.I have no idea how I got into 8th grade...If I need more help would it be fine if I tag you? :c

Answer 38

c'mon! it's really easy as you see.
But before you leave I want to ask you a question. ok? Ready?

Answer 39

Yes?

Answer 40

What are the missing values?

2y+5x=10
?y+10x=?

Answer 41

Nuuuuuuu.. ;o;

Answer 42

ahahaha.
It's easy.
What is the assumption?

Answer 43

2y+5x=10? v-v

Answer 44

correct.
Which number should be multiplied to both sides of it to give us something similar to ?y+10x=?

Answer 45

Um..2?

Answer 46

CONGRATULATION!
YES........
You got it.
So what will be the result?

Answer 47

14?

Answer 48

It's wrong right.. :c

Answer 49

what do you mean 14?
You have to multiply 2 to both sides.
2*(2y+5x)=2*10 --> 4y+10x=20
that is similar to ?y+10x=? because the coefficients of Xs are the same. both are 10.

Answer 50

Oh gosh I'm dumb...Sorrryy.. >.<

Answer 51

I think you just didn't understand what the question is looking for.
The question you asked was looking for two numbers which can be replaced with two question marks.
ok?

Answer 52

Okay.

Answer 53

That was why we were trying to make the coefficients of Xs similar. Because then the question marks will show their values.

Answer 54

If you have any difficulty with understanding it, you can ask.

Do Great!

Answer 55

Thank youuu. cx