Question

Sherry uses the steps below to solve the equation x + (negative 8) = 3 x + 6.

Step 1 Add 1 negative x-tile to both sides and create zero pairs
Step 2 Add 8 positive unit tiles to both sides and create zero pairs.
Step 3 Divide the 14 unit tiles evenly among the 2 x-tiles.
Step 4 The solution is x = 7

What is Sherry’s error?
In step 1, she should have added 3 negative x-tiles to both sides.
In step 2, she should have added 6 negative unit tiles to both sides.
In step 3, she did not divide the tiles evenly.
In step 4, she should have found the solution x = negative 1.

Answer 1

Step-by-step explanation:

The given equation :

x + (negative 8) = 3 x + 6.

or

x+(-8) = 3x+6

Step 1.

Add (-3x) to both sides of the equation.

x+(-8) + (-3x) = 3x+6 +(-3x)

x-8 = 3x +6

Step 2.

Add 8 positive unit tiles to both sides and create zero pairs.

x-8+8 = 3x +6 +8

x = 3x +14

Step 3.

x-3x = 14

-2x = 14

x = -7

Hence, step 1 is incorrect as she should have added 3 negative x-tiles to both sides.

Answer 2

Answer:

Step 2

Step-by-step explanation: