Here are the essential concepts you must grasp in order to answer the question correctly.
Algebraic Equations
Algebraic equations are mathematical statements that assert the equality of two expressions. They often contain variables, constants, and operators. To solve for a variable, one must isolate it on one side of the equation, which involves performing inverse operations to both sides to maintain equality.
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Isolating the Variable
Isolating the variable is a fundamental technique in solving equations. This process involves rearranging the equation so that the variable of interest is alone on one side. This is typically achieved by adding, subtracting, multiplying, or dividing both sides of the equation by the same number, ensuring that the equation remains balanced.
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Substitution
Substitution is a method used in algebra to replace a variable with a known value or expression. In the context of solving equations, once the variable is isolated, substituting known values allows for the determination of the variable's value. This technique is essential for simplifying complex equations and finding solutions efficiently.
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