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We will set the answer layout first by forming 2 brackets. (x+a)(x+b)=0We then look at the signs used, particularly negative signs. In this question, there is a minus sign before the 4.This means that one...

With linear simultaneous equations the best thing to do is find one variable first and in this question we will find x first. We will start by rearranging the second equation to give us y = x - 6. Now we ...

Simplify the numerator (top) by finding the pair of numbers which multiply together to give the C term of the quadratic, and add to give the B term. This gives 2 and 5 so the equation becomes (x+2)(x+5) /...

Original value = 150,000  10% original value =15,000  After 3 years year is 2008, house value = 150,000 - 3*(15,000) = 105,000Until start of 2012 from start of 2008, so 4 years of compound intrest.  New v...

a) 50 pens total. 2 + 7 = 9. Number of pens is done in 9s.  50/9 = 5r5, so multiple of 5.  Then 25 + 75 pens.    10 red and 35 yellow, 45 pens             
b) 18 red / 2 = [9]r0   31 yellow ...