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Solve the simultaneous equations: 2x-3y = 24 and 6x+2y = -5

There are numerous alternative ways to solve these simultaneous equations. For this problem, one of the simplest methods is to multiply the first equation by 3, so that we get 6x in both equations: (2x - 3y)...
AS
Answered by Augustinas S. Maths tutor
4676 Views

Which Real values of x satisfy 3/ln(x) = ln(x) + 2?

The problem with this equation lies with the denominator on the left hand side. If we recall our graph of ln(x) however, we know that ln(x) is always positive and not equal to 0. Now we can safely multiply i...
MH
Answered by Mark H. Maths tutor
4853 Views

Discuss whether the Additional Member System has more advantages than other electoral systems used in the UK

This question requires for there to be a weighted answer, for and against the idea that the AMS system has more advantages. You need to give three answers for and three answers against. Each answer should ha...
TG
4347 Views

Where z is a complex number, what is the cartesian form of |Z-2+3i| = 1?

Z is simply a general complex number, which can be written as Z = x+iyHere |Z-2+3i| = 1 can be written as |Z-(2-3i)| = 1, which is just an expression for every Z whose distance from the point (2,-3i) is equa...
MH
Answered by Mark H. Maths tutor
10877 Views

Find the integral of log|x| by integration by parts

The question says to use integration by parts on this question, but at the minute we only have one variable. Therefore, we introduce a 1, so that log|x|= 1*log|x|, here we have not altered the value of the f...
LP
Answered by Laura P. Maths tutor
5851 Views