How to re-arrange and solve linear equations

[MM_Alex]

Ah, the most simple of all equations, the linear.


The Balancing method

this is basically the principle of what you do to one side you MUST do to the other

For a simple example:

x + 2 = 4

now we want to find the unknown, x. So we shall take away 2 from both sides

-2 x + 2 = 4 -2

leaving us with:

x=2

slightly more complicated

2x = 0

Now we shall divide both sides by 2 ( as once again we wish to find the variable x )

This leaves us with

x = 0

as complicated as it gets

Of course, i'm not going to make a-hundreds-of-pages long equation but i will introduce some new factors, namely fractions.
( to show a fraction i will put the nominator [top part] in these brackets "[ ]" and to show the line between the nominator and denominator [bottom part] i will seperate with "/"

eg

[x]/2 = 2

Now we can cross multiply for simple equations like this. However this is a very method and can only work for small equations. So we wont

we will use a multiplier

this is basically the lowest common factor of the fractions
ie,
[x]/2=2
can also be written as

[x]/2=[2]/1

the lowest common factor is 2 so we multiply both sides by 2 leaving us with:

x=4

a harder example

[x+2]/4 = [2x]/2

in this case first of all we multiply both sides by 4 (lowest common multiple)
this gives us:

x+2= 2[2x]

(we get the 2[2x] as we multiples [2x]/2 by 4 which means the [2x] is multiplied by 2)

we then multiply out the brackets giving us:

x+2 =4x

we then - x from both sides to give us:

2 = 3x

we then divide both sides by 3 giving us:

x = [2]/3 or 0.6666666........

and that is pretty much all...

thanks for reading this was my first guide so please tell me what u thought​

 

[Rawr]

Thank you for the Math Lesson... Try making your content easier to understand and adding more colour so some sections add more.

This will improve your guide a lot, 6/10 so far though.

 

[MM_Alex]

ok, i changed based on your comments.

 

[SwiftSeller]

I like this, although it is easier to write it on a piece of paper then take a picture of it. That way you can use some symbols and draw arrows (which you cant do on the forum topic boxes)

This is good if you want to learn basic 7 and 8th grade math, which are the main population of sythe. (cept me)

6/10. add pictures of it instead of just text. good guide

 

[Guru Aaron]

6/10. add pictures of it instead of just text. good guide

What could he put pictures of? But pretty good guide. Would look better if centered.

 

[MM_Alex]

i changed. based on your advice =]

 

[Dave6969]

Wow helped me

 

[MM_Alex]

thats what its all about