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Simultaneous equations - Solution by substitution As the variables (x & y) are the same in both equations , we can substitute from one equation into the other. This will give an equation with just one va...

First, write out the equations beneath each other: 4x + y = 14 6x - y = 16 Then, label the equations a and b (let's take the top one as a, and the bottom one as b) We always look to eliminate either the x te...

The quadratic formula is x = [- b ± √( b 2 - 4 ac )]/2 a (1) , where a,b and c are the coefficents of a quadratic in the form a x^2+ b x+ c =0 (2) . To prove that this works we need to start from equation (2...

Take the example 2x 2 + 7x + 3 = 0 1. To factorise we need to use the general equation 'ax + bx - c = 0' where in our case a = 2 b =7 c=3. 2. First we need to mulitply the a and c values (2 3 = 6) where we h...

The Product Rule is used when differentiating two functions that are being multiplied together. It can be used by multiplying each function by the derivative of the other and adding. If y=u v then dy/dx= u d...