#ALGEBRA

137 messages · Page 1 of 1 (latest)

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acoustic stirrup
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a (x + b) = 4x + 10

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(a - 4) x = 10 - ab

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you can not divide this equation by 0

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because division by 0 is not defined.

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in another words, if you allow 0 to be a divisor,

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the situation will be chaotic and that is no good

acoustic stirrup
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do you feel like dividing it by (a - 4), don't you?

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at this very moment, you should stop and wait, and think carefully about how the situation is and what you should do to solve it

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the question asks you to find the pairs (a, b), where any real number x will satisfy the equation.

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in the equation you deal with, there are three variables, (a, b, x)

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the question gives x, not c

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if not x but c,

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the equation becomes
a(b + c) = 4c + 10

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well, i will stop here.

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what I've said is only a hint,

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ooooooooohhhh??>

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lol

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okay

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well

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you've got much nearer to the goal

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As is always the case with communication in places like here

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it is only a problem of how to say, how to express your thoughts.

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it might be.

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"if"

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this is the key

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let us return to the equation [ (a - 4) x = 10 - ab ]

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please wait a moment

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okay, you use c

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a (b + c) = 4c + 10

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first,

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you said that "ab is essentially 4c.

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could you explain what you meant by it?

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good

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Can I make another example whose essence is the same as this?

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thank you

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well,

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if the problem is

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solve these equations;

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2x = 6

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yes

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then,

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2x = b

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right

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but

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ax = b

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is it really okay?

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remember that you cannot divide by 0

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so,

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but

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if

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if!!!!

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if a is not 0

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you can divide the equation with no worry

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then,

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let's get back to the first equation

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oh sorry wait

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before going back to the original problem,

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we should understand how to deal with this type of questions

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ax = b

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if you understand how to solve it perfectly,

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then the original one will become so easy for you

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the key is [if]

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if a = 0

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0 = b

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so, the answer is;

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a = b = 0 and any x satisfies the equation.

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it's ok

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I just thought that [ax = b] is simple and easy to understand for you

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a(b + x) = 4x + 10

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the question doesn't use c but uses x is a hint.

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when it's x and when it's c,

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the equations look different a little bit for many people

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when you look at x,

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in the context like this,

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you will be more inclined to look at x as a special variable than a, b

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sorry, but

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shall we return to [ax = b], please?

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thanks

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if i tell you to solve an equation [ax = b] for x,

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that means, you are told to search and find x that satisfies [ax = b]

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it is the point

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"if ax = b, then x = b/a"

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this is not correct

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because there is a case where a = 0

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if a = 0,

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so,

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you have to use "if"

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or "when"

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this is so easy.

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I believe you always do many things like this

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if it's rainy tomorrow, i don't want to go out,

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but if it's sunny tomorrow, i want to go to that restaurant

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here being discussed is not different from things like that at all

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a can be 0

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so,

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it is necessary for you to divide the situation into two cases.

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(i) a = 0
(ii) a ≠ 0

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in the case (ii),

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you don't have to worry at all about "no 0-divide rule"

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because in the case (ii), a is not 0.

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so you can conclude that x = b/a

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but in the case (i),

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the conclusion is very different from the one in the case (ii)

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you can ask anything

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when someone is thinking about something about which he/she has a question,

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it's pretty hard to explain what he/she doesn't understand

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and what you thought through tackling with something hard to understand... okay

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oh

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so nice

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really nice

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but wrong

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but nice

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it's so nice because you showed your thoughts

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and the explanation you have created on your own

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I marked two of your messages

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of course you can do anything about equation "in this reality"

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it's a little hard for me to explain, but

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you can set a to 4

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but in mathematics,

nova tinsel
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Yo

acoustic stirrup
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um... it's not a good choice of words

nova tinsel
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Yea it is

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You're trying to isolate B

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so you need to eliminate all other variables

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how do you do this? by setting A to 4, then you get rid of both the A and the X

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since A would just be 4, and 4-4=0, 0*x= 0 (no more X)

acoustic stirrup
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thanks, mpmc

nova tinsel
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ofc

acoustic stirrup
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I will take a rest

nova tinsel
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It's a daunting question I don't blame you, it's super sneaky

acoustic stirrup
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ok?

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now can you solve [ax = b] perfectly?

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there are other cases where you solve it as to x, but for now,

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it is enough for you to solve [ax = b] with a viewpoint of the equation is an equation "of x"

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in short, all you have to do is to search and find every x that satisfies [ax = b]