Here are the essential concepts you must grasp in order to answer the question correctly.
Rational Equations
Rational equations are equations that involve fractions with polynomials in the numerator and denominator. To solve these equations, one typically finds a common denominator to eliminate the fractions, allowing for easier manipulation and simplification of the equation.
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Cross-Multiplication
Cross-multiplication is a technique used to solve equations involving two fractions set equal to each other. By multiplying the numerator of one fraction by the denominator of the other, and vice versa, one can create a simpler equation without fractions, making it easier to isolate the variable.
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Isolating the Variable
Isolating the variable is a fundamental algebraic technique where one manipulates an equation to get the variable on one side and all other terms on the opposite side. This often involves using inverse operations, such as addition, subtraction, multiplication, or division, to solve for the variable in question.
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