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What is the easiest way to solve a simultaneous equation?

While the elimination method can be extremely easy for certain questions, it cannot be applied to all. Therefore, the substitution method is recommended because it can be applied to most cases of simultaneou...
WA
Answered by William A. • Maths tutor
3716 Views

Factorise fully 12x^2-20x+3

By factorising we're attempting to simplify this expression. When we factorise quadratics, typically this will result in two brackets. The content of these brackets, can be simply worked out with trial and e...
SO
Answered by Santiago O. • Maths tutor
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What are the two roots of the equation y=x^2+5x+6?

A root of a function is where the function equals zero. So to begin to solve we must set the function to equal zero.x^2-5x+6 = 0If the question didn't make it clear already, you should be able to identify th...
NM
Answered by Niamh M. • Maths tutor
4795 Views

Write cosx - 3sinx in the form Rcos(x + a)

Rcos(x + a) = Rcosxcosa - Rsinxsina By comparing cosx - 3sinx to the new expression, we can see that: Rsina = 3 and Rcosa = 1 If we square both and add them, we can see R = √(1 2 +(-3) 2 ) [I would explain w...
OG
Answered by Odin G. • Maths tutor
10595 Views

Samuel had 3 piles of coins, I, II and III. Altogether there was 72p. Pile II had twice as much as pile I. Pile III had three times as much as pile II. How much money was in Pile III?

First let coins in pile I equal x. Then we the question tells us II has twice pile A so we can now write this as 2x. Finally, we can write pile III as 6x - reason is that III has three times pile II which is...
SR
Answered by Syed R. • Maths tutor
3431 Views