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12 September, 12:30

Tony solves the linear equation 3 (x - 3) + 2x + 9 = 2x + 2 (x - 1) using the step shown below.

Step 1: 3x - 3 + 2x + 9 = 2x + 2x - 1

Step 2: 5x + 6 = 4x - 1

Step 3: 5x - 4x = - 1 - 6

Step 4: x = - 7

b

Oc

Od

He incorrectly applied the addition and subtraction properties of equality.

He distributed incorrectly.

He incorrectly applied the multiplication and division properties of equality.

He incorrectly combined like terms.

+1
Answers (1)
  1. 12 September, 13:12
    0
    He distributed incorrectly.

    Step-by-step explanation:

    To solve 3 (x - 3) + 2x + 9 = 2x + 2 (x - 1)

    Opening the parenthesis will yield

    3x - 9 + 2x + 9 = 2x + 2x - 2

    5x = 4x - 2

    Subtract 4x from both-side of the equation

    5x-4x = 4x - 4x - 2

    x = - 2

    The mistake he made is;

    3 (x - 3) = 3x - 9

    Not 3x-3

    Also

    2 (x - 1) = 2x - 2

    Not 2x-1
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