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Class 10 > Learn UNIT II: Algebra > In algebra, can X and Y equal the same number?
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In algebra, can X and Y equal the same number?

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I'm a professor with more than 6 years of experiences.

Yes, in algebra, X and Y can equal the same number. This is frequently the case in equations where X and Y are variables that represent the same unknown quantity. For instance, consider the equation X + Y = 6. In this equation, X and Y could represent any two numbers that add up to 6. For example, X...
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Yes, in algebra, X and Y can equal the same number. This is frequently the case in equations where X and Y are variables that represent the same unknown quantity. For instance, consider the equation X + Y = 6. In this equation, X and Y could represent any two numbers that add up to 6. For example, X could be 2 and Y could be 4, or X could be 3 and Y could be 3. read less
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Chemistry Tutor with 4 years of experience

Yes. X and Y are unknowns, so can represent any number. They can be equal to each other.
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Chemistry Tutor with 4 years of experience

With this algebraic truth in mind, let's take a quick look at the simplest reason why two variables can have the same value, namely X and Y. Again, remember that there is absolutely no algebraic rule that states that two or more variables can not equal the same number.
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Experienced and certified home/online tutor

Yes, X and Y can be the same at initial stage.
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Committed to Excellence in Education

Yes. X and Y are unknowns, so can represent any number. They can be equal to each other
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"Transforming Numbers into Knowledge: 5 Years of Inspiring Mathematical Excellence"

However, in specific situations, such as symmetry problems or specific mathematical contexts, X and Y might represent the same value. In general algebraic expressions, X and Y are considered independent unless the problem specifies otherwise.
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It is the same as asking if you have the same money in your pocket as your friend does. The short answer is "nobody knows". You need to establish certain relations(equations) to ascertain anything about X and Y
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