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Maths
GCSE

There are a total of 50 apples and pears (apples + pears) in a large basket. If the total number of apples was doubled and the total number of pears was tripled, these two numbers would add up to 130. How many apples and pears are in the basket?

Solve this simultaneously.

Where a= apples and p= pears,

a+p=50 and 2a+3p=130

Multiply a+p=50 by 2 on both sides to get:

2a+2p=100

Then subtract the two equations from e...

CB
Answered by Christopher B. Maths tutor
3017 Views

f(x)=2x+c, g(x)=cx+5, fg(x)=6x+d; c and d are constants. Work out the value of d

f(g(x))=2(cx+5)+c

fg(x)=2cx+10+c

2cx=6x

2c=6

c=3

10+c=d

d=13

IB
Answered by Imogen B. Maths tutor
5268 Views

Make x the subject of 3y + 2x = 6y - x/2

Multiply whole equation by 2

6y + 4x = 12y - x

Take 6y from both sides

4x = 6y - x

Add x to both sides

5x = 6y

divid both sides by 5

x = 6/5(y)

BP
Answered by Ben P. Maths tutor
3220 Views

Multiply out: (x - 2)(x + 5)

This can be seen as the same as (x)(x + 5) + (-2)(x + 5). So you are just multiplying the first value in the first brackets with both the values in the second brackets. This is xx + x5 which equa...

TS
Answered by Thomas S. Maths tutor
5374 Views

How do you solve a simultaneous equation such as x+2y=10 and 3x+2y=18?

To solve simulatenous equations there are two main methods, substitution and elimintion. The first method requires the principle where if x is equal to a number, say x=2 then we can substitute this in, fo...

KR
Answered by Katie R. Maths tutor
4473 Views

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