Top answers

Maths
GCSE

Solve simultaneous equations: 3x + y = 12 and 5x + 5y = 30

Make y the subject of equation 1 by subtracting 3x from both sidesy = 12 - 3x
Substitute 12 - 3x for y in equation 25x + 5(12 - 3x) = 305x + 512 - 53x = 305x + 60 -15x = 3060 - 10x = 30 ...

TD
Answered by Tutor162883 D. Maths tutor
4123 Views

x^2 - 5x - 12 = 2, solve for x

RHS should always be 0 so start by taking that across.Now we want two numbers, they need to add up to make - 5 and multiply to make -14.Solve for this and we get -7 and +2.Use this information to factoris...

PS
Answered by Pratinav S. Maths tutor
3694 Views

5 tins of soup have a total weight of 1750 grams. 4 tins of soup and 3 packets of soup have a total weight of 1490 grams. Work out the total weight of 3 tins of soup and 2 packets of soup.

Let tins be represented by XLet packets be represented by Y
5X= 1750X=350
4X+3Y=14904(350)+3Y=14901400+3Y=14903Y=90Y=30
3X+2Y= (3x350) + (2x30)= 1050+ 60= 1110

JC
Answered by Joe C. Maths tutor
2932 Views

A-level - How to differentiate e^x where x is more complicated?

For exampe: e4x^3
The way to look at this is, the differential of e4x^3 = the ...

JC
Answered by Jake C. Maths tutor
3776 Views

An triangular prism has base xcm, height (x+4)cm and length 4xcm. Find the volume of the prism in terms of x. Find the volume when x=2cm.

This question combines knowledge of volume equations with using unknown variables. We know the volume of a prism is the area of the face multiplied by the length. The first step would be to find the area ...

MP
Answered by Megan P. Maths tutor
3256 Views

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