Question

The incorrect work of a student to solve an equation 2(y + 8) = 4y is shown below:

Step 1: 2(y + 8) = 4y
Step 2: 2y + 10 = 4y
Step 3: 2y = 10
Step 4: y = 5

Which of the following explains how to correct Step 2 and shows the correct value of y? (5 points)

Group of answer choices

Answer 1

2 should be distributed as 2y + 16; y + 8

Answer 2

Step 2 involved distributive property and the value of y is equal to 8.

Explanation:

In step 2, there has been an error in applying the Distributive Property correctly.

Distributive Property- a(b+c)

= a x b + a x c

Step 2:
`2y+16=4y`

Step 3:
`2y=16`

Step 4:
`y=8`

y=8