Solve Equations Containing Rational Expressions

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Mathematics

Description

  1. In your own words, explain the difference between equations and expressions.
  2. In your own words, explain why it is necessary to check solutions to equations containing rational expressions

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Explanation & Answer

Please find attached the answers to both questions in doc and PDF format.Please let me know if you have any doubt or need any explanation.

1. The difference between equations and expressions:
• The simplest way to differentiate between an expression and equation in the mathematical
form is: An equation has ‘=’ sign in it, whereas an expression doesn’t.
For e.g.: “2x+5=7” is an equation, whereas “2x+5” is an expression.
• If we compare them in English word form, then an equation is a complete sentence, whereas
an expression isn’t.
For e.g.: “If 5 is added to twice of a number, it becomes 7” can be represented as equation,
whereas “5 more than twice of a number” is an expression, which is not a complete sentence.
In fact, these statement and phrase respectively represent the same equation and expression,
which were given in last example.
• An equation can be solved for some variable ...


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