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In my opinion the easiest way of approaching simultaneous equations is to first number your equations. 5x+2y=82x+y=7This helps avoid confusion later in the working. Next choose the variable you want to s...

Step 1) Replace f(x) with y: y= 2x - 7
Step 2) Switch around the x and y values: x = 2y - 7
Step 3) Solve to find y by itself: x = 2y - 7 x ...

x = 3, y = 2

x² - 8x + 12 = 0 (x - 4)² - 16 + 12 = 0 (x - 4)² - 4 = 0 (x - 4)² = 4 x - 4 = +- 2 x = 6 x = 2

We can factorise the quadratic equation by noting that two numbers which multiply to get 24 and that add to get -10 are: -6 and -4. Therefore, we get (X-6)(X-4)=0 and we can solve for X to get X = 6 or X ...