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2 June, 08:25

The work of a student to solve the equation 2 (6y - 3) = 20 + 6y is shown below:

Step 1: 2 (6y - 3) = 20 + 6y

Step 2: 8y - 5 = 20 + 6y

Step 3: 2y - 5 = 20

Step 4: 2y = 25

Step 5: y = 12.5

In which step did the student first make an error and what is the correct step?

Step 2: 8y-5=10+3y

Step 2: 12y-6=20+6y

Step 3: 6y-3=2 (18+3y)

Step 3: 2 (6y-3) = 18+3y

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Answers (1)
  1. 2 June, 08:50
    0
    2 (6y - 3) = 20 + 6y

    Use the distributive property, which states a (b - c) = ab - ac

    We should get:

    2*6y - 2*3 = 20 + 6y

    Which can be simplified to:

    12y - 6 = 20 + 6y

    That means the mistake was in step 2. The student didn't multiply the numbers and instead added the numbers.

    Your answer is: Step 2: 12y-6=20+6y
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