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30 March, 20:03

Louisa states that the solution to the equation 1/4x - 3 = 3/8x + 4 is x = 56. She verifies her solution using the steps below.

Equation: 1/4x - 3 = 3/8x + 4

Step 1: 1/4 (56) - 3 = 3/8 (56) + 4

Step 2: 14 - 3 = 21 + 4

Step 3: 11 = 25

Which statement most accurately describes Louisa's error?

A. Louisa made an error when determining the original solution of x = 56.

B. Louisa made an error when substituting the solution in for x.

C. Louisa made an error when multiplying 56 by 1/4 and by 3/8

D. Louisa made an error when adding or subtracting.

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Answers (2)
  1. 30 March, 20:05
    0
    A. Louisa made an error when determining the original solution of x = 56.

    Step-by-step explanation:

    1/4x - 3 = 3/8x + 4

    To verify x=56 is a solution, substitute x=56 into the equation

    1/4 (56) - 3 = 3/8 (56) + 4

    Multiply

    14 - 3 = 21 + 4

    Combine like terms

    11 = 25

    The steps are correct.

    x=56 must not be a solution to the equation
  2. 30 March, 20:15
    0
    option A

    Step-by-step explanation:

    Given that Louisa states that the solution to the equation 1/4x - 3 = 3/8x + 4 is x = 56.

    She did the following steps

    Step 1 is right because she substituted x=14 to check whether right side = left side

    Step 2: Multiplication is done correctly

    Step 3: Is incorrect because 11 can never be equal to 25 in Mathematics.

    Hence the mistake she did is not in substitution, multiplication or addition/subtraction. But in determining the original solution

    Hence A) Louisa made an error when determining the original solution of x = 56.
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