If 27 is subtracted from three times a certain number,the result is 18. Find the number. ( If we let n represent the number to be found, thesentence If 27 is subtracted from three times a certain number, the resultis 18.can be translated into the following algebraic equation: 3n27 = 18 Solve this equation 3n27 = 18
3n + 0 =45 3n = 45 3n/3 = 45/3 Divideeach side by 3 n = 15 Now we substitute the solutionfor n into the original equation to see if it works. 3n 27 =18 3(15) 27 = 18 45 27 =18 18= 18 We must also see if the solution works in theoriginal problem statement. If 27 is subtracted from three times a certain number,the result is 18. If 27 is subtracted from three times a certain number(3X 15), the result is 18. If 27 is subtracted from 45, the result is 18. 4527 = 18 We have just solved a first degree equation. ( The source for the problem statement is: Intermediate AlgebraFor College Students by Jerome E. Kaufman |

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