exam Maths Puzzle Numerical Ability

If the two given equations are being solved so that one unknown is eliminated by the method of comparison, which step is esential in the following problem.
3x+2y=7
6x-5y=8

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exam Other Question

I each dimension of room is increased one meter, the area is increased by 51 meters; and if the length is increased one meter and the width diminished by one meter, the area is decreased three square meters. Find the dimensions of the room? Is the inverse of a function always a function? Justify your answer.

I know that it is not always a function but I am not sure why