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26 June, 23:22

Which of the following equations have infinitely many solutions?

Choose all answers that apply:

a. 57x+57=-75x-7557x+57=-75x-75

b. - 75x+57=-75x+57-75x+57=-75x+57

c. 75x+57=-75x+5775x+57=-75x+5

d. - 57x+57=-75x+75

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Answers (1)
  1. 26 June, 23:30
    0
    b. - 75x+57=-75x+57

    Step-by-step explanation:

    If an equation after solving does not give the solution but give a true statement then the equation has infinitely many solution,

    In option a.

    57x+57=-75x-75

    57x + 75x = - 75 - 57

    132x = - 132

    ⇒ x = - 1

    i. e. it has only one solution,

    In option b.

    -75x+57=-75x+57

    -75x + 75x = 57 - 57

    0 = 0 (True)

    i. e. it has infinitely many solution.

    In option c.

    75x+57=-75x+57

    75x + 75x = 57 - 57

    150x = 0

    ⇒ x = 0

    i. e. it has only one solution,

    In option d.

    -57x+57=-75x+75

    -57x + 75x = 75 - 57

    18x = 18

    ⇒ x = 1

    i. e. it has only one solution.
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