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Simultaneous equations have two or more unknown values, in this case there are two: x and y. To solve them, first we need to get one unknown by itself. In order to do this we need the coefficient of eithe...

There are three things to think about when sketching a quadratic graph: whether its a 'u' or 'n' shape, where it cuts across the y axis and where it cuts across the x axis (if it does). Let's look at an e...

The mean height of all the students is 1.48m which means that the total height of all the students is 30 * 1.48m = 44.4m. The contribution due to the boys is 14 * 1.52m = 21.28m. Therefore the total heigh...

2s = d/t. Multiply both sides of the equation by t to give 2ts = d. Then, divide both sides of the equation by 2s to give t = d/2s.

To begin with,for every line ax+by+c=0 the gradient is m=(-a)/b.From theory, it is known that two lines are parallel only if their gradients are equal. For line 1: y=3x-2, it implies that 3x-y-2=0(we just...