Solving simultaneous equations

This is for all you GCSE students, that feel they need to expand there knowledge on Simultaneous equations. For me, solving these equations always had me, until, one day my teacher sat down with me and explained them clear as day.

What is a simultaneous equations?
A Simultaneous equation, if a form of 2 equations with the values  x and y  missing.

What do I need to find?
You will need to find the value of x and y. 

Is it easy?
Yeah it is, really when you get the hang of it!


Rules
If the signs are the same ( + + or --) you take away the equations.
If the signs are different ( -+) you add the equations.
Always substitute the x's or the y's back into the equation.
You need to make sure that atleast, in both equations the y's OR the x's are the same.
Label the equations E.G a,b 1,2.

Lets get started

2x+3y=26 (1)
  x+3y=19 (2)
Already we notice the the y's are the same in both equations, meaning they both have the same value, also it has to positive sign's, so we know we have to minus (-) them. I have also labled the equations 1 and 2
Lets start by taking them away
2x-x= x
3y-3y=0
26-19=7
We can eliminate the y's.
X=7

Substitute the x back into any one formule. 
7+3y=19.
19-7=12
3y=12
y=12/3
y=4

x=7, y=4.

Thanks for Learning.
Part 2 will be up, next week.

How to times any number by 11

How to times any number by 11 between 1-99:)


EXAMPLE

 Take 63x11 for example.

You can not do it in your head can you?
If you can then wow! I can but that's because I know how.

Anyway.
6+3=9
Stick the 9 in the middle of the number

693!!!!! DO IT ON A CALCULATOR IF YOU CAN :)

What about 83x11?

Well, 8 plus 3 is 11. BUT the answer wont be 8113!
You add the 10's

8+1=9 So the 8 becomes a 9. Then stick the 1 in the middle and the 3 at the end.

913- Wasn't that hard, was it?

EXERCISE

78X11
61X11
34X11
47X11
79X11
64X11
52X11
18X11
37X11
99X11

LEAVE THEM IN THE COMMENTS BELOW, SHOW WORKING IF YOU CAN/WANT.

Thanks for reading xox

Maths is life.

Hello, everybody.
So I thought that I would right a Blog that symbolises who I am.

I LOVE MATHS.

So I've decided to start a blog on Tips and Tricks in Maths to help you get those grades.

Comment what you want me to go over with you.

Thanks for reading