Search over 10,000 free study notes

First use the gradient equation for a line: difference in y over difference in x:dy/dx = gradienttherefore: (15-9)/(d-5) = 315-9=3(d-5)6=3d-1521=3dtherefore d = 7

Call '5x + y = 21' equation 1 and 'x - 3y = 9' equation 2. To solve this, we need the coefficients of x in both equations to be the same or the coefficients of y in both equations to be the same.
Met...

Firstly expand the brackets due to BIDMAS.6x-10=7Now we want to have x on its own side, so add 10 to both sides.6x=17Finally we want to solve to find x, so divide both sides by 6.x=17/6

We should start by looking for the highest common factor of the 2 numbers involved in the equation (3&12)If you cannot do this immediately in your head, create a factor tree or list the factors3: 312:...

First we need to find a value for x in terms of y , this can be done by rearranging the second equation y - x = 3 to give x = y - 3. This equation is then substituted into the first equation so tha...