Simultaneous Equations!

A bit of maths, hope it's okay and easy enough to understand.

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SIMULTANEOUS EQUATIONS!
How to work them out:
Easy (1) 5x +5y =10
(2) 5x+ 3y = 8
1) Take away the x's
2) Then take away the 3y from 5y and 8 from 10.
5y ­ 3y = 2y
10 ­ 8 = 2
Then you have:
2y = 2
Y = 1
Substitute the y value into just one equation (either (1) or (2)) to find out the x value:
(1) 5x + (5 x 1) = 10
5x + 5 =10
Then simply take the 5 from 10 so you are left with:
5x = 5
X = 1!
And so
X = 1 Y= 1
Have a go yourself:
1) 3x + 2y = 17 2) 5x + y = 17 3) 5x ­ 4y = 27
5x + 2y = 27 3x + y = 11 2x ­ 4y = 12

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SIMULTANEOUS EQUATIONS!
Hard
(1) 10x + 2y = 20
(2) 5x + 3y = 15
Because the two equations do not have any of the same numbers you have to times one of
the equations (either (1) or (2)) to make one of its values equal to the other:
(2)X 2
(2)10x + 6y = 30
(1)10x + 2y = 20
Then again simply take away the xs's and take away the 2 from the 6 and 20 from 30:
6y ­ 2y = 4y…read more

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SIMULTANEOUS EQUATIONS!
Opposite Signs
(1) 3x + 6y = 18
(2) 5x ­ 6y = 22
Because the signs are different, you have to add, and so this cancels out the 6y
8x = 40
X = 5
Once again simply substitute the x value into one equation (either (1) or (2))
(1) (3 x 5) + 6y = 18
15 + 6y = 18
18 ­ 15 = 3
6y = 3
Y = 0.5
And so:
X = 5 Y= 0.…read more

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