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There are a few ways of solving these simultaneous equations, but most of them involve substitution. Perhaps the most intuitive substitution to make is the second equation (y=3x+5) into the first one (xy=...

Assume we have the function:
y = x ( x² + 8x - 9)
This function is known as a cubic function as when multiplying out the brackets, the highest function of x would be x³.Not...

In order to do this we must follow the standard procedure for a proof by induction which is to first check a base case:Let n = 1, then the sum can be written as 1² = 1/6(1+1)(2+1) = 1 as requir...