Ask Question
11 August, 02:19

Which of the following equations have no solutions? Choose all answers that apply: Choose all answers that apply: (Choice A) A 14x-23=14x-2314x-23=14x-2314, x, minus, 23, equals, 14, x, minus, 23 (Choice B) B - 23x-14=14x-23-23x-14=14x-23minus, 23, x, minus, 14, equals, 14, x, minus, 23 (Choice C) C 14x+23=14x-2314x+23=14x-2314, x, plus, 23, equals, 14, x, minus, 23 (Choice D) D - 14x+23=14x-23-14x+23=14x-23

+1
Answers (1)
  1. 11 August, 02:22
    0
    14 x + 23 = 14 x - 23 has no solution ⇒ answer C

    Step-by-step explanation:

    * Lets explain how to solve the problem

    - The equation has NO solutions if the variable in the equation

    disappear and the left hand side (L. H. S) not equal the right hand

    side (R. H. S)

    - The equation has infinite solutions if the variable in the equation

    disappear and the left hand side equal the right hand side

    * Now lets check which equation has no solution

    A) 14 x - 23 = 14 x - 23

    - Add both sides by 23

    ∴ 14 x = 14 x

    - Subtract 14 x from both sides

    ∴ 0 = 0

    ∵ L. H. S = R. H. S

    ∴ The equation has infinite solutions

    B) - 23 x - 14 = 14 x - 23

    - Add both sides by 23

    ∴ - 23 x + 9 = 14 x

    - Add 23 x to both sides

    ∴ 9 = 37 x

    - Divide both sides by 37

    ∴ x = 9/37

    ∴ The equation has one solution

    C) 14 x + 23 = 14 x - 23

    - Subtract 23 from both sides

    ∴ 14 x = 14 x - 46

    - Subtract 14 x from both sides

    ∴ 0 = - 46

    ∵ L. H. S ≠ R. H. S

    ∴ The equation has NO solutions

    D) - 14 x + 23 = 14 x - 23

    - Subtract 23 from both sides

    ∴ - 14 x = 14 x - 46

    - Subtract 14 x from both sides

    ∴ - 28 x = - 46

    - Divide both sides by - 28

    ∴ x = 23/14

    ∴ The equation has one solution

    * 14 x + 23 = 14 x - 23 has no solution
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Which of the following equations have no solutions? Choose all answers that apply: Choose all answers that apply: (Choice A) A ...” 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