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1. ×2 --> 4x + 14y = 241) - 2) --> 4x + 14y - 4x = 24 - 14 - (-4y) 14y = 10 + 4y10y = 10 --> y = 14x = 14 - 4 (1)x = 10/4 = 2.5x = 2.5 & y= 1

Can either differentiate or using the completing the square method. Differentiation not covered at GCSE so completing the square should be done to get -((x+5/2)²+15/4). To find the max point we...

We want to start with “the square of an odd number” and show something. Remember that any odd number can be expressed as 2n+1 (an even number is 2n, and any odd number is 1 larger than an...

First, label the equations 1 and 2:1: 7x+y=1 and 2: 2x^2-y=3Rearrange equation 2 in terms of yy=2x^2-3Now substitue the rearranged version of equation 2 into 1 to give7x+2x^2-3=1.Bring all the values to t...

Only factors of 2 are 1 and 2, therefore solution will take form of (2x + a)(x + b) to get 2x² term. Only factors of 3 are 1 and 3 therefore a and b are either 1 or 3. Playing around and intuit...