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Solve the following simultaneous equations: 2y = 8x + 6 // x = 3y + 7

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 equation...
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Answered by Andrew H. • Maths tutor
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The formula to convert from degrees Fahrenheit to degrees Celsius is C=(F-32)*(5/9). If it is 32 degrees Celsius, what is the temperature in Fahrenheit?

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 th...
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Answered by Sarah B. • Maths tutor
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i) Factorise x^2 – 7x + 12 ii) Solve x^2 – 7x + 12

i) STEP 1: Make 2 brackets and put an x in each one: (x )(x ) STEP 2: Find 2 numbers when multiplied together make 12 and when added together they make -7 Multiples of 12: 1 x 12 --> 1+12=13 2 x 6 --> ...
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Answered by Hashir C. • Maths tutor
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Please expand the brackets in the following equation to get a quadratic equation. Then, please show using the quadratic formula that the solutions to the equation are x=3 and x=5. Here is the starting equation: (x-3)(x-5)=0

(X-3)(x-5)=0Use F.O.I.LFirst x multiplied by x gives x 2 outer x multiplied by -5 gives -5xinner x multiplied by -3 gives -3xlast -5x-3 gives +15combining we get x 2 -8x+15=0the quadratic equation ax 2 +bx+c...
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Answered by Jacob G. • Maths tutor
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Show that the funtion (x-3)(x^2+3x+1) has two stationary points and give the co-ordinates of these points

Stationary points are points where the gradient of a function is equal to 0. In this question the product rule can be used to find the gradient of the given function. The product rule is given by u'v+uv'= (u...
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Answered by Joe R. • Maths tutor
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