book Maths Puzzle Numerical Ability

What is the exact explanation of inverse when used in algebra? For school i need to define the term inverse.

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Nan can rent a van for either 50 dollars per day with unlimeted mileage or 35 dollars per day with 75 free miles and an extra charge of 20 cents for each mile over 75 miles. For w please help me with the substitution method.

3(y-1)=2(x-3)
3y-2x=-3
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y=3x
y=3x+1
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