Gabriella

Mathematics

7 November, 21:29

Consider the sequence of steps to solve the equation: 2 (x - 4) + 6x = 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 the Distributive Property? 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