Ask Question
28 January, 21:49

Write the equation 8y = 1/12 x - 0.8 in standard form. Identify A, B, and C.

+5
Answers (1)
  1. 28 January, 21:56
    0
    The equation is 10x - 960y = 96

    A = 10, B = - 960, C = 96

    Step-by-step explanation:

    * Lets explain the standard form of the linear equation

    - The standard form of the linear equation is:

    AX + BY = C, where A, B, C are constant

    - A is a positive integer, and B, and C are integers

    - The slope of the line is - A/B

    - The y-intercept is C/A

    - Lets solve the problem

    ∵ The equation of the line is 8y = 1/12 x - 0.8

    - At first multiply the equation by 12 to make the coefficient of x integer

    ∴ (8 * 12) y = (1/12 * 12) x - (0.8 * 12)

    ∴ 96y = x - 9.6

    - Multiply the two sides of the equation by 10 to make 9.6 integer

    ∴ (96 * 10) y = (1 * 10) x - (9.6 * 10)

    ∴ 960y = 10x - 96

    - Add the two sides by 96

    ∴ 960y + 96 = 10x

    - Subtract 960y from both sides

    ∴ 96 = 10x - 960y

    ∴ The standard form of the equation is 10x - 960y = 96, where

    A = 10, B = - 960, C = 96
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Write the equation 8y = 1/12 x - 0.8 in standard form. Identify A, B, and C. ...” 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