Ask Question
24 March, 14:44

What is the solution to the equation One-half x + 3 = two-thirds x + 1? One-third Two-thirds 2 12

+1
Answers (1)
  1. 24 March, 14:58
    0
    Answer:x = 12

    Step-by-step explanation:

    The equation One-half x + 3 = two-thirds x + 1 is expressed as

    x/2 + 3 = 2x/3 + 1

    The first step would be to to find the lowest common multiple of the left hand side of the equation and the right hand side of the equation and multiply the left hand side of the equation and the right hand side of the equation by the lowest common multiple. The lowest common multiple is 6. Therefore,

    x/2 * 6 + 3 * 6 = 2x/3 * 6 + 1 * 6

    3x + 18 = 4x + 6

    4x + 6 = 3x + 18

    Subtracting 3x and 6 from the left hand side of the equation and the right hand side of the equation, it becomes

    4x - 3x + 6 - 6 = 3x - 3x + 18 - 6

    x = 12
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “What is the solution to the equation One-half x + 3 = two-thirds x + 1? One-third Two-thirds 2 12 ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers