Question

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

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

Which of the following explains how to correct Step 2 and shows the correct value of y?

he equation should be y + 4 = 4y after division by 2; y = 5.
The equation should be y + 4 = 4y after division by 2; y = 2.
2 should be distributed as 2y + 8; y = 4.
2 should be distributed as 2y + 8; y = 2.

Answer 1

The answer is; 2 should be distributed as 2y + 8; y = 4.

Answer 2

Option 3 rd is correct

2 should be distributed as 2y + 8; y = 4.

Explanation:

Given an equation:

Step 1.

`2(y + 4) = 4y`

Using distributive property, i.e,
`a \cdot (b+c) = a\cdot b + a\cdot c` we have;

Step 2.

`2y+8 = 4y`

Subtract 2y from both sides we have;

Step 3.

`2y = 8`

Divide both sides by 2;

Step 4.

y = 4

Therefore, to correct Step 2 2 should be distributed as 2y + 8; and the correct value of y is, y = 4