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.