Question

emma’s steps: step 1. 6(x + 2)=42 - 4x step 2. 6x + 2=42 - 4x step 3. 10x + 2=42 step 4. 10x=40 step 5. x = 4 luis’s steps: step 1. 6(x + 2)=42 - 4x step 2. 6x + 12=42 - 4x step 3. 2x + 12=42 step 4. 2x=54 step 5. x = 27 which statement describes emm

Explanation:

Step1: Analyze Emma's error

Emma made a mistake in Step 2. When distributing 6 in 6(x + 2), she should get 6x+12, not 6x + 2.

Step2: Analyze Luis's error

Luis made a mistake in Step 4. From 2x+12 = 42, to isolate x, we should subtract 12 from both sides, getting 2x=42 - 12=30, not 2x = 54.

Answer:

Emma made a distribution - error in Step 2 and Luis made a subtraction - error in Step 4.