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#1 2013-07-12 04:06:30

TryingMyBest50
Member
Registered: 2013-07-12
Posts: 13

Linear equations

Hello Forum, after i find the solution to this equation 5m+10=8m-2, how do i check to make sure the answer is correct. Greatly appreciate any help!

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#2 2013-07-12 04:12:27

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,215

Re: Linear equations

Hi TryingMyBest50;

Welcome to the forum.

Subtract 5m from both sides.

Add 2 to both sides.

Divide both sides by 3.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#3 2013-07-12 04:24:55

TryingMyBest50
Member
Registered: 2013-07-12
Posts: 13

Re: Linear equations

Hi bobbym, i first need to say that math is not my subject. With that said, is that how i check that the solution is a true statement?dizzy

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#4 2013-07-12 04:26:47

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,335

Re: Linear equations

hi TryingMyBest50

Welcome to the forum.

And then check by working out if 5x4 + 10 gives the same result as 8x4 -2

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#5 2013-07-12 04:27:56

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,215

Re: Linear equations

You check by substituting the 4 into the m.

5 x 4  = 20 and 8 x 4 = 32

20 + 10 = 30 and 32 - 2 = 30

Checked and you are done.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#6 2013-07-12 04:37:21

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,335

Re: Linear equations

hi bobbym

how are you today?

That latex error was strange.  \times (4) worked for me in a preview.

Test

curious

Maybe it's all in the spaces?

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#7 2013-07-12 04:40:10

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,215

Re: Linear equations

Hi Bob;

I am fine, how is everything?

Until it gets into the cache, some latex will not work. It is functioning okay now.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#8 2013-07-12 04:43:34

TryingMyBest50
Member
Registered: 2013-07-12
Posts: 13

Re: Linear equations

Hi bob, i want to thank both you and bobbym for your feed back. So i just replace the answer with what ever letter is presented to check my that the sollution is correct, right?up

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#9 2013-07-12 04:46:52

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,215

Re: Linear equations

Replace the letter ( variable ) that you solved for and do the arithmetic correctly. Both sides should be the same.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#10 2013-07-12 04:55:23

TryingMyBest50
Member
Registered: 2013-07-12
Posts: 13

Re: Linear equations

Variable, i knew the letter had a name i just coudln't think of it. Thank you so much for your help! You guy's are great! Have a Blessed day!

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#11 2013-07-12 07:19:59

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,215

Re: Linear equations

You are welcome.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#12 2013-07-12 07:25:09

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,335

Re: Linear equations

hi bobbym,

While your latex was producing an error I copied it so I could check the ascii codes of your symbols. Then when that revealed nothing I did my test post 6.  And your original latex is still there producing an error.  So I don't think it's a cache problem.  dunno

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#13 2013-07-12 07:31:03

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,215

Re: Linear equations

Hi Bob;

On mine it is working fine. Does it look like this for you?

View Image: 2013-07-12_122543.gif

In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#14 2013-07-12 07:36:33

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,335

Re: Linear equations

hi bobbym,

Yes, it does.

But look at post 6

Bob

View Image: latex error.gif

You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#15 2013-07-12 07:39:54

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,215

Re: Linear equations

Hi;

Sorry, I did not see that.

Removing the spaces causes it to work.


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#16 2013-07-12 07:49:36

bob bundy
Moderator
Registered: 2010-06-20
Posts: 6,335

Re: Linear equations

Oh yes.  But this is still weird for me:

Won’t work version:          5 \times (4)+10 = 8 \times (4)-2

De-spaced version works:  5 \times (4)+10=8 \times (4)-2

But my working version had loads of spaces:
                                                5 \times (4) + 10 = 8 \times (4) -2


Just got to put my head in some ice.  dizzy   Back later.

Bob


You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei

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#17 2013-07-12 07:52:20

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,215

Re: Linear equations

That is true. I can remove one space and everything is fine.

Just got to put my head in some ice.

Sounds cooling!


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#18 2013-07-12 12:34:11

TryingMyBest50
Member
Registered: 2013-07-12
Posts: 13

Re: Linear equations

Hi guy's it's me again. How do i turn this linear equation 4x+11=6x-3 into an linear inequality? Would i write it like 4x<+11=6x<-2, and the lesser sign is underlined?

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#19 2013-07-12 13:30:44

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,215

Re: Linear equations

Hi;

I have never heard of that...


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#20 2013-07-13 03:35:27

TryingMyBest50
Member
Registered: 2013-07-12
Posts: 13

Re: Linear equations

Hi Bobbym, I need to change the linear equation 4x+11=6x-3 into a linear inequality (using < or >). Can it be done?

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#21 2013-07-13 03:39:10

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,215

Re: Linear equations

Why couldn't you just replace the = with a < or a >?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#22 2013-07-13 03:52:07

TryingMyBest50
Member
Registered: 2013-07-12
Posts: 13

Re: Linear equations

ok, so how would you solve the equation using < or >.

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#23 2013-07-13 03:54:55

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,215

Re: Linear equations

Which one?


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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#24 2013-07-13 04:03:12

TryingMyBest50
Member
Registered: 2013-07-12
Posts: 13

Re: Linear equations

I need to turn this linear equation 4x+11=6x-3 into a linear inequality.

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#25 2013-07-13 04:09:46

bobbym
Administrator
From: Bumpkinland
Registered: 2009-04-12
Posts: 85,215

Re: Linear equations

4x+11<6x-3 or 4x+11>6x-3 or 4x+11≤ 6x-3 or 4x+11 ≥ 6x-3


In mathematics, you don't understand things. You just get used to them.
Of course that result can be rigorously obtained, but who cares?
Combinatorics is Algebra and Algebra is Combinatorics.

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