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You want to try and get rid of one of the letters from the equations. To do this you need to add a certain number of one equation into the other so that one of the letters cancel out. In the question abov...

I would first ask the student to draw out a heptagon to check if they know what the shape is.(white board - drawing shape)
Next i will ask them to start at one edge of the s...

Multiply according terms so that the denominators are the same for all fractions. [2(x-3)(x+3)/(x-3)(x+3)]-[(x+2)(x+3)/(x-3)(x+3)]-[(x-6)(x-3)/(x-3)(x+3)]Expand out the brackets: 2x²-18-x^2...

For the show that part of the question simply substitute all the 𝑥's in 𝑓(𝑥) with 1, as the factor 𝑥 − 1 means that 𝑥 - 1 = 0 therefore 𝑥 = 1. Once substituted in solve the equation and show that it is e...

First we would rearrange so that all non variables are on one side, so it becomes 3x=-1The dividing both sides we get:x=-1/3