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First we assign, for example, that x = cost of 1 book, and y = cost of 1 apple. Then we make these into simultaneous equations, such as: 3x+2y=19 (eqn. 1) and x+5y=15 (eqn. 2). Now multiply eqn. 2 to get ...

Key here is the order of operation.g(4) =2x4 - 5=8-5=3fg(4) = f(3)=15/3=5gf(-30)f(-30)=15/-30=-1/2gf(-30)=g(-1/2)=2x-1/2 -5=-1-5=-6gf(x)f(x)=15/xg(15/x)=2*15/x -5=30/x -5

3x+5y=224x-5y=6Our first task is to cancel out one of the variables. So you see that both y variables have a 5 before them. As one has -5 and the other has +5 you can add both simultaneous equations toget...

So there are 35 students in total. 10 which have both a laptop and a TV and 12 with only a TV. There are 20 students that own laptops. We have to find out how many students only have laptops. To do this w...

So first of all in finding the equation of this line, we shall find the gradient of the line which is represented by m. To find m, we use a formula and the values in the 2 coordinates. The first coordinat...