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The phrase "other ways" implies you already have one way in mind. I regret that I am unable to read your mind to determine what that way might be!
the answer you didn't already know that WOW YOURE SMART!
If you already know that x = -3 and y = 5 what linear equations are you wanting to solve?
"What else .." implies you already have some answer in mind. It would help to know what that is.
Precisely because of the inequality! Take the simplest case, of an equation or inequality that is already solved. For the equation, for example, take: x = 10 The equality means that x has to be 10, it can't be anything else. On the other hand, a similar inequality: x > 10 means that ANY number greater than 10 will do. For the sake of completeness, please note that more complicated equations can actually have more than one solution, too. For example: x2 = 25 has the solutions 5 and -5, while sin x = 0 has infinitely many solutions, since the sine function is periodic.