# factorising help please? 12x + 8y = 4

Answers

Hi are you there?

19 June 2012

For this question. 12 could be factored as 43, 8 could be factored as 24.

19 June 2012

therefore, both side have the common factor 4.

19 June 2012

in this case, we could divide both sides by common factor 4.

19 June 2012

yes hello

19 June 2012

Identify a common factor- in this case a number that goes into 12, 8 and 4. This number is 4, as previously stated. Dividing by 4 leaves:

02 July 2012

3x + 2y = 1

02 July 2012

Or, 0 + 2y = 1, making y = 0.5

02 July 2012

If we make x = 0, the sum now reads (3*0) + 2y = 1..

02 July 2012

That's your answer for y. To find x, put y back into the sum, ie

02 July 2012

Make y = 0.. Making (3x) + (20) =1

02 July 2012

or 3X + 0 = 1. X= 1/3

02 July 2012

To check,

02 July 2012

Usually you look for a common factor, a number present in each of 12,8 & 4.

02 July 2012

The common factor here is 4 so the equation becomes 4(3x+2y)=4.

02 July 2012

Next you divide by 4 on both sides to be fair to both sides. The equation now becomes 3x+2y=1.

02 July 2012

That's all you can do with that unless you have some other conditions. For example; if you know x you can find y. But that's simultaneous equations and not simply factorising.

02 July 2012

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