Search over 10,000 free study notes

6x + 2y = 2 and 12x -3y =18 

Start by multiplying the first equation by two in order to balance both equations to have equal numbers of x

12x + 4y = 4 and 12x - 3y = 18

Rearrange both...

'Simplest surd form' is a clue that quadratic factorising will not work for this question, so we must instead use the quadratic formula. It is always a good idea to quote this as marks are often available...

Simultaneous equation questions look very intimidating because not only are there 2 equations to solve but there is 2 variables in each! To start with, we're going to make the equations look less confusin...

(x+4)(x+1)=0

x=-1   x=-4

We can find out whether lines are perpendicular by comparing their gradients. Each gradient should be the negative reciprocal of the other - for example, 3/2 and -2/3, or 4 and -1/4. (Writing the number a...