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7 August, 23:33

Consider the sequence of steps to solve the equation: 2 (x - 4) + 5x = 9x - 10 Given ⇒ 2 (x - 4) + 6x = 9x - 10 Step 1 ⇒ 2x - 8 + 6x = 9x - 10 Step 2 ⇒ 2x + 6x - 8 = 9x - 10 Step 3 ⇒ 8x - 8 = 9x - 10 Step 4 ⇒ 8x - 8x - 8 = 9x - 8x - 10 Step 5 ⇒ 0 - 8 = x - 10 Step 6 ⇒ - 8 = x - 10 Step 7 ⇒ - 8 + 10 = x - 10 + 10 Step 8 ⇒ 2 = x + 0 Step 9 ⇒ 2 = x Which step in solving this equation is justified by Combining Like Terms? A) Step 1 ⇒ 2x - 8 + 6x = 9x - 10 B) Step 2 ⇒ 2x + 6x - 8 = 9x - 10 C) Step 3 ⇒ 8x - 8 = 9x - 10 D) Step 4 ⇒ 8x - 8x - 8 = 9x - 8x - 10

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Answers (2)
  1. 8 August, 00:40
    0
    Answer: Step 3 >8x-8=9x-10
  2. 8 August, 01:29
    0
    The like terms 2x and 6x of Step 2 are combined in Step 3:

    ... C) Step 3 ⇒ 8x - 8 = 9x - 10
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