Q1. Solve the equations given to identify values for 'x' and 'y'


(2) x 3

(1) + (3)


From (2)


Q2. Solve the equations given to identify values for 'e' and 'f'



This is a reasonably easy question, just subtract (1) from (2) to eliminate 'f' :

From (1):

Note that simultaneous equations do not have to be 'x' and 'y' but can be literally anything. This can sometimes be the cause of a little bit of confusion for some students who are entrenched in the use of 'x' and 'y' as variables.


Q3. Solve the equations given to identify values for 'i' and 'j'

We can eliminate 'j' quite easily as there are already 4 of them in each equation so there is no "upscaling" required. Consider this:


(1) - (2)

From (1)

Try not to get too confused with the use of 'i' as a variable here. You will come across this particular letter when you start to study complex numbers, in the context of this particular simultaneous equations problem there is no relationship, so please don't think that 'i' must equal the square root of -1 :-) 



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