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How to Figure Out What Variables Mean in an Algebraic Equation

Basic algebra is taught in U.S. schools as early as the sixth grade, and one key feature of basic algebra is the introduction of the unknown variable. Practically, equations with unknown variables can be used to aid in various everyday tasks, such as calculating the ratio of an ingredient in a recipe or finding the percentage you could save before making a purchase. The unknown variable, represented by a letter within the equation, can be solved for using basic mathematical functions.

Instructions

    • 1

      Isolate the variable by adding, subtracting, multiplying or dividing on both sides of the equal sign. For example, you may wish to solve for "x" in the following equation: "5x + 2 = 2x + 17." Subtract "2x" from both sides to get the unknown on one side: "3x + 2 = 17." Then subtract two from both sides to get the numbers on one side: "3x = 15."

    • 2

      Solve for "x" by adding, subtracting, multiplying, or dividing to get the "x" by itself. From the example above, you can identify that three is a common factor on both sides of the equation "3x = 15" because 15 is divisible by three. To isolate the unknown variable, divide both sides by three to get the answer: "x = 5."

    • 3

      Check your work. If you've successfully solved for the unknown, you should be able to plug your answer in wherever the unknown is in the original equation. From the example above, "x = 5." If you input five for "x," you get "5(5) + 2 = 2(5) + 17." Calculate as is appropriate to reach the same number on both sides. For example: "5(5) + 2 = 2(5) + 17," which is "25 + 2 = 10 + 17," which is "27 = 27."

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