Question

Antoinette solves the linear equation 3(x-3)+2x+9 = 2X+ 2(x-1) using the steps shown below.

Answer 1

Answer:

A

Step-by-step explanation:

Answer 2

Answer:

Antoinette's error

Option A) She distributed incorrectly.

Step-by-step explanation:

We are given the following information in the question:

Antoinette solves the linear equation

$3(x-3)+2x+9 = 2x+ 2(x-1)$

Antoinette made mistake in step 1 that is she did not distributed correctly.

If she would have distributed correctly, then she would have got the following solution:

$3(x-3)+2x+9 = 2x+ 2(x-1)\\\text{Step 1: }3x-9+2x+9 = 2x + 2x-2\\\text{Step 2: }5x = 4x -1\\\text{Step 3: }5x-4x = -1\\\text{Step 4: }x = -1$

Substituting x = -1 in the given equation, we gwt:

$3(-1-3)+2(-1)+9 = 2(-1)+ 2(-1-1)\\-12-2+9 = -2-4\\-6=-6\\\text{which is true}$

Antoinette's error

Option A) She distributed incorrectly.