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17 June, 03:23

Which of the statements is true for the two equations below?

Equation A: 6+3x=3x-3

Equation B: 2 (4x-1) = 8x-2

A. Equation A has no solution and Equation B has an infinite number of solutions.

B. Equation A has an infinite number of solutions and Equation B has no solution.

C. Equation A and Equation B have an infinite number of solutions.

D. Equation A and Equation B have no solution.

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Answers (1)
  1. 17 June, 03:31
    0
    Equation A:

    6 + 3x = 3x - 3

    This equation has no solution, no matter what number you plug into the equation, it will never = each other

    [if you tried simplifying more]

    9 + 3x = 3x (added 3 on both sides, then subtracted 3x on both sides)

    9 = 0

    Equation B:

    2 (4x - 1) = 8x - 2 Distribute/multiply 2 into (4x - 1)

    (2) 4x - (2) 1 = 8x - 2

    8x - 2 = 8x - 2

    This will have an infinite number of solutions because whatever number you plugged in, they would always = each other since they are the same on both sides of the equation

    [simplified]

    8x = 8x (add 2 on both sides, then divide 8 on both sides)

    x = x

    Your answer is A
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