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

fg(x)=2cx+10+c

2cx=6x

2c=6

c=3

10+c=d

d=13

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)

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...

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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...