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Maths
GCSE

Solve the simultaneous equations 5x + 2y = 4 and x - y - 5 =0

First label the equations. 1: 5x + 2y = 4 . 2: x - y - 5 = 0 . Rearrange equation 2 . 2: y = x - 5 Substitute equation 2 into equation 1 . 5x + 2( x - 5 ) = 4 . 7x = 14 . x = 2 . Substitute x = 2 into equ...

CS
Answered by Conor S. Maths tutor
5428 Views

How do you expand and simplify (x − 6)(x + 2y)^2

start of by expanding the braquet which has got a power(x + 2y) (x + 2y) = X2 + 2xy + 2xy + 4Y2then simplify that => x2 + 4xy + 4y2then multiply that by (x -...

AO
Answered by Antoine O. Maths tutor
5084 Views

How would you solve 4x > 7 - 10x ?

When solving an inequality, you want to get all of the x terms on one side, just like when you're solving an equation. Therefore, adding 10x to each side would give us:4x (+10x) > 7 - 10x (+10x) which ...

SG
Answered by Sarah G. Maths tutor
3232 Views

Ed has 4 cards. There is a number on each card. Three of the numbers are 12, 6 and 15. The mean of the numbers is 10. What is the fourth number?

To find the mean you add all the numbers together and divide by the number of numbers. Call the fourth number x. Then we know that (12+6+15+x)/4 =10. then multiply both sides by 4 to get 12+6+15+x=40 whi...

SP
Answered by Sarah P. Maths tutor
9426 Views

Factorise fully 6xyz + 24x^2yz + 18xy^3z^2

So we need to find common factors for each term: 6xyz, 24x2yz and 18xy3z2. Let's start with the numbers. Do the numbers 6, 24 and 18 have a common factor? Yes, 6 . If we t...

TL
Answered by Tom L. Maths tutor
3306 Views

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