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    Variables, coefficients, and constants

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    Lydia takes ten minutes more to complete an illustration than Tom. The total time taken by both of them is six hours. Form an algebraic equation to express this and identify the variables, coefficients, and constants of the algebraic expression. You are not required to solve the equation.

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    Solution Preview

    First you need an expression that equals the number of time taken by Lydia and Tom to complete and illustration. Lets make that time x for each student.

    Tom's time is x.

    Since we know that Lydia takes ten minutes more, her expression will be x+10 signifying the extra time.

    We'll add both Tom's and Lydia's time to get the total ...