Search over 10,000 free study notes

b= 16-6a  this will be your substitution. 

5a- 2(16-6a)=19 now multiply out.

5a-32+12a=19 always remember positive and a negative multiplied is a negative.

17a=51

a= 51/17 = 3 ...

x² - 6x + 5 = 0.

For simple quadratic equations such as this example we need to factorise the expression into 2 brackets: (x+a)(x+b) = 0.

To find a and b we can expand the bracket...

A probability that an event occurs will always range between 0 and 1. If you want to know the probability of two events both happening you would multiply them together. For exampke what is the probability...

To work out which bag is best value for money you have to work out the price of each bag per kg. To do this you must divide the price of the bag by the number of kg's it weighs. I.e. 3.20/4 = 80p per kg, ...

To factorise an equation is to put it into (usually two) brackets in the form (x+a)(x+b), where a and b are integers, which multiply out to make the original equation. So whenever you see the word factori...