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First of all, we must multiply each equation by a suitable number in order to get the same leading coefficient. In simple terms, we must make the coefficient of the x or the y in...

Expand the brackets out first6x-3y=ax-4Now, get all the x's on one side6x-ax=3y-4and now factorise the side with the x's as we want to isolate xx(6-a)=3y-4and now divide both sides by (6-a)x=(3y-4)/(6-a)<...

x = 150.This question requires that the student uses the symmetry of the sine graph. If we draw y = sin(30) on top of y = sin(x), it is clear that a possible value of x is 150.
A harder question coul...

As we are told it is a right angled triangle we known that we can use Pythagoras's formula of c² = a²+b² given that we have been given lengths of 3 and 4 we simply substit...

x² - 4x -12 is a quadratic equation with a general formula. It can be factorised by into brackets and solved.By looking at the equation, the last term is negative so one number in the factorise...