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

Integrating is essentially the opposite of differentiating.xⁿ --> xⁿ⁺¹ We add 1 to the power and re-introduce variables where they have been eliminated potentially k --> kxWe m...

^{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...