Question

The incorrect work of a student to solve an equation 2(y + 6) = 4y is shown below:

Step 1: 2(y + 6) = 4y
Step 2: 2y + 8 = 4y
Step 3: 2y = 8
Step 4: y = 4

Which of the following explains how to correct Step 2 and shows the correct value of y?
2 should be distributed as 2y + 12; y = 6 2 should be distributed as 2y + 12; y = 3 The equation should be y + 6 = 4y after division by 2; y = 2 The equation should be y + 6 = 4y after division by 2; y = 1

Answer 1

option 1 (2 should be distributed as 2y + 12; y = 6)

Explanation:

Given: Equation = 2(y+6)=4y

To find : the correct step 2

To solve this equation the steps are as follow :

Step 1: 2(y + 6) = 4y

Step 2: 2y + 12 = 4y

Step 3: 2y = 12

Step 4: y = 6

To correct step 2 we have to replace 8 by 12 because 2×6=12

Therefore option 1 is correct -2 should be distributed as 2y + 12; y = 6

Answer 2

The correct steps to solving this problem:

Step 1: 2(y+6) = 4y
Step 2: 2y + 12 = 4y
Step 3: 12 = 2y
Step 4: y = 6

The first option explains how to correct Step 2 and shows the correct y value.

I hope that this helps you :)