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Solve the simultaneous equation: 3x+y=24, x-7-y=-3

Simultaneous equations can be solved either using substitution or elimination.
For this example we will use substitution to work out the answer, which will involve rearranging one of the equations (...

Answered by Nicholas G. Maths tutor
4292 Views

Differentiate y=ln(ln(x)) with respect to x.

To solve this question we need to understand the process of implicit differentiation, which is a case of using the chain rule. If you remember the chain rule states that for y=f(g(x)), we have y'=f'(g(x))...

Answered by Marek K. Maths tutor
4482 Views

What is 'e' and where does it come from?

Its called Euler's number but it can be said to be credited also to Bernoulli.
Hopefully you are aware of interest on loans from banks, if not, proceed to have a look on Wiki. In short, when you borr...

Answered by Oliver O. Maths tutor
3111 Views

How many people in a room is required such that the probability of any two people sharing a birthday is over 50 percent?

Probability can be highly intuitive yet at times completely nonsensical. Famous mathematicians have fallen victim to the idea that everything in probability can be done without rigorous calculation and th...

Answered by Oliver O. Maths tutor
3183 Views

Solve the simultaneous equations: 2x + y = 18, x - y = 6

There are two ways to solve simultaneous equations, by substitution or by addition/subtraction. The simplest solution in this case is a method of substitution:
Rearrange the simplest equation to get ...

Answered by Kieran T. Maths tutor
5784 Views

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