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Maths
GCSE

How to solve simultaneous equations?

Let's say we have two equtions: 3x + y = 8 5x + 2y = 14 In order to solve them, we need to bring one of the coefficients to the same number. Let's say we do that with y. So: 6x + 2y = 16    5x + 2y = 14 N...

KW
Answered by Kamila W. Maths tutor
3389 Views

A metal sphere of radius 15cm is melted down and recast into a solid cylinder of radius 6cm. Calculate the height of the cylinder.

Using the eqauation for volume of sphere (V=4/3 pi r^3) calculate the volume of the original sphere. This comes to 14137.2 cm^3 (1dp). The new cylinder formed has the same volume. Therefore, you can use t...

SK
Answered by Sameerah K. Maths tutor
12929 Views

Solve 2x+3 + ((4x-1)/2) = 10

  1. Divide everything in the brackets by 2.      2x+3 + (2x -1/2) =10

  2. Collect like terms (collect 'x' terms and collect numbers).    2x + 2x + 3 -1/2 = 10

  3. Simplif...

LR
Answered by Lauren R. Maths tutor
6452 Views

Solve for x: 2x+3+((4x-1)/2)=10

Solve for x: 2x+3+((4x-1)/2)=10 First of all, move all the values on the left-hand side of the equation that are not in brackets over to the right-hand side of the equation so as to make the fraction (in ...

LH
Answered by Luke H. Maths tutor
3403 Views

Solve algebraically: 6a + b = 16 5a - 2b = 19

b= 16-6a  this will be your substitution. 

5a- 2(16-6a)=19 now multiply out.

5a-32+12a=19 always remember positive and a negative multiplied is a negative.

17a=51

a= 51/17 = 3 ...

JD
Answered by Jade D. Maths tutor
2996 Views

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