Examine the equation and solution method shown below. Indentify the error and then solve the equation using a valid solution method.

1. Find and explain the error in the solution method.
2. Solve the equation 3(3x+6+x)=1 using a valid solution method.
3. Explain each step in your solution method. Why is your method valid?

Pls Help. 100 points​ 4 (3 stars)
5
2391 response - 0 helps

3 ( 3x + 6 + x ) = 1

Step 1, apply distributive method.

9x + 18 + 3x = 1

Step 2, simplify the following

12x + 18 = 1

Step 3, Change side

12x = -17

x = -17/12

The error/mistake was in step 2 where [ 9x +3x = 12x ]

3 ( 3x + 6 + x ) = 1

3 ( 3(-17/12) + 6 + -17/12 ) = 1

1 = 1

Hence proved our solution is correct.

5 (2 stars)
5
semsee45 1 year ago
2792 response - 0 helps

Question 1

The error is in step 2.  They have subtracted from the left side of the equation, yet only subtracted 3 from the right side.

Questions 2 & 3

Solve: Apply the distributive law : Collect and combine like terms:  Subtract 18 from both sides:  Divide both sides by 12:  