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We can treat the numbers (coefficients) 54/6 as one separate fraction to be multiplied by what we get when we've simplified the x's and y's. So first we do 54/6 to get 9, which we'll multiply the rest of ...

First work out y² using the second equation, making sure to do this using the FOIL technique. Then substitute this into the first equation to get 5x² - 40x - 80 = 0. All the terms in...

a+3b = 15, a+11b=47 , use simultaneous equations to get 8b = 32 therefore b=4 and a=3.

^{First we must try to write y as a function of x, in this case it means halving the first equation so that we find that y = 4x + 3. Once we have dicovereved this. We can now write the y in our second ...}

This question involves rearranging the equation to make F, the temperature in Fahrenheit, the subject of the formula. We'll start by writing out the original formula, and then we will move the elements of...