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Maths
GCSE

Solve the simultaneous equations: x^2+y^2=36 ; x=2y+6

Substitute x in terms of y into the first equation:

(2y+6)2+y2=36

Use FOIL to expand the brackets

4y2+24y+36+y2=36 ...

DB
Answered by Daniel B. Maths tutor
31237 Views

Can you make 'p' the subject of the following equation? 4(p-2q)= 3p+2

When a question asks you to make something the subject of an equation, it is asking you to rearrange it to get it in the form of, for example when 'p' is the subject, 'p = ....'

First we ...

SM
Answered by Sarah M. Maths tutor
19152 Views

Find the inverse of y = 2x+1/ x-1

the aim of finsing the inverse is making x the subject. To start we need to multiply both sides by: (x-1), giving us:y(x-1) = 2x+1now we need to expand the brackets:yx - y = 2x+1now gather all the x compo...

AS
Answered by Amelia S. Maths tutor
11099 Views

Whats the inverse of y = 2x+1/x-1 ?

To find the inverse we're wanting to make x the subject. First start by multiplying both sides by (x-1), this gives us y(x-1) = 2x+1. Expand the brackets giving yx - y = 2x+1. Gather all the x components ...

AS
Answered by Amelia S. Maths tutor
17941 Views

Solve (x + 2)(x+3) = (2x+4)

Expand: x2 + 2x + 3x +6 = 2x+4
Take (2x+4) from both sides: x2+3x+2 = 0
Facorise: (x+2)(x+1) = 0
So solutions are x=-2 and x=-1

MT
Answered by Michael T. Maths tutor
7574 Views

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