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We use factorisation of double brackets to re-express the equation in a more useful form. For this factorisation, we require two numbers that add to make 14 and also multiply to make 40. We notice that th...

Find the lowest common denominator of either x or y. x in this example. ( 12x )Multiply both equations such that the x's match this. ( 1) 12x + 8y = 16 & 2) 12x + 15y = 51 )Combine t...

Should start completing the square by figuring out what the square will be ( (x + 2)² )Figure out what should be added/taken away from the square to complete it by mu...

Brief overiew of the answer: Since the roll is even, we either rolled a 2, a 4 or a 6, all with equal probabilities. Therefore, the probability we rolled a 2 is equal to 1/3.Formal answer: We write P(2|E)...