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By multiplying everything in equation 2 by 2, you get 2x + 8y = 34. If you then subtract equation 1 from this you get 5y = 15. Thus y = 3, going back to equation two, and subbing y back in, x + 12 = 17, t...

First differentiate 2x² - 5x - 3 to get 4x -5. At x = 3, the gradient of the tangent must be 7, and we know it goes through (3, 0) Plug the values into y = mx + c to get the equation of the lin...

In order to prove this we can write a general expression of an odd number in terms of n, e.g - 2n+1Square this 'odd number': (2n+1)^2, therefore you can write it as (2n+1)(2n+1), then expand (multiply out...

We are finding the Highest common multiple (HCM) of two numbers in this question. To find the HCM, first the prime factors have to be found, this means writing each number as a multiplication of the small...

Start by writing down the question5(x+2) = 45The aim is to "free" or solve for the variable "x", we work from outside the brackets. First step is to get rid of the 5 on the left hand s...