Fred solved the equation 8(3x - 7) = -6(x + 7) + 4 as shown.
Given 8(3x - 7) = -6(x + 7) + 4 Step 1 24x - 56 = -6x - 42 + 4 Step 2 24x - 56 = -6x + 46 Step 3 30x = 102 Step 4 x = 17/5 Fred made an error between step 1 and step 2. a.) Explain the error that Fred made. b.) What is the solution of the original equation?
8(3x - 7) = -6(x + 7) + 4 Given
24x - 56 = -6x - 42 + 4 24x - 56 = -6x - 38 ← Fred took -42 + 4 to be 46 instead of the correct -38, shown here +6x +56 +6x +56 30x = 18 {added 6x and added 56 to each side} x = -18/30 {divided each side by 30} x = -3/5 {reduced} Ask Algebra House Comments are closed.
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