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ANSWER = 3/55

First we want to eliminate of one these variables in order to solve the equations. We need to identify which variable has the same coefficient- in this case, it is y. So, we subtract the two equations fro...

Normally to find a tangent we want to work out dy/dx, but since this equation is x=something, it's much easier to work out dx/dy first, then we get dy/dx by doing 1/(dx/dy)=dy/dx.
By the chain rule, ...

When we have a probability question with multiple possible outcome as we have here (the multiple possible outcomes are pulling out a green, purple, black or pink counter) the probabilities of all of these...

This is a question which is simply asking you to solve a quadratic. There are three main ways to do this; quadratic equation, factorising into brackets and completing the square. As the question specifica...