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2 August, 03:01

The work of a student to solve a set of equations is shown:

Equation 1: m = 8 + 2n

Equation 2: 3m = 4 + 4n

Step 1: - 3 (m) = - 3 (8 + 2n) [Equation 1 is multiplied by - 3.]

3m = 4 + 4n [Equation 2]

Step 2: - 3m = - 24 - 6n [Equation 1 in Step 1 is simplified.]

3m = 4 + 4n [Equation 2]

Step 3: - 3m + 3m = - 24 - 6n + 4n [Equations in Step 2 are added.]

Step 4: 0 = - 24 - 2n

Step 5: n = - 12

In which step did the student first make an error?

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Answers (1)
  1. 2 August, 03:03
    0
    Step 1, because if you really wanted to multiply both sides by - 3, it would be - 3 (3m) on the left side
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