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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 + 5 12 - 5 3x = 305x + 60 -15x = 3060 - 10x = 30 # add 5x and -15x S...
TD
Answered by Tutor162883 D. • Maths tutor
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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 factorise: ...
PS
Answered by Pratinav S. • Maths tutor
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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
3000 Views

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

For exampe: e 4x^3 The way to look at this is, the differential of e 4x^3 = the expression itself ( e 4x^3 ) multiplied by the differential of whatever e is to the power of.In this example the differential o...
JC
Answered by Jake C. • Maths tutor
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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 of ...
MP
Answered by Megan P. • Maths tutor
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