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Simplify the fraction 54x^(6)y^(13)/6x^(3)y^(9).

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 the...
LK
Answered by Leo K. • Maths tutor
3668 Views

If x^2 + y^2 = 20 and y=10 - 2x, find x and y.

First work out y 2 using the second equation, making sure to do this using the FOIL technique. Then substitute this into the first equation to get 5x 2 - 40x - 80 = 0. All the terms in this can be divided by...
ST
Answered by Sara T. • Maths tutor
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A linear sequence is as follows: a+b, a+3b, a+5b .... The 2nd term is equal to 15. The 6th term is 47. What is the value of a? What is the value of b? Show your working.

a+3b = 15, a+11b=47 , use simultaneous equations to get 8b = 32 therefore b=4 and a=3.
LR
Answered by Liam R. • Maths tutor
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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...
AH
Answered by Andrew H. • Maths tutor
3725 Views

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...
SB
Answered by Sarah B. • Maths tutor
14067 Views