Question

The incorrect work of a student to solve an equation 2(y + 6) = 4y is shown below:Step 1: 2(y + 6) = 4yStep 2: 2y + 8 = 4yStep 3: 2y = 8Step 4: y = 4Which of the following explains how to correct Step 2 and shows the correct value of y? 2 should be distributed as 2y + 12; y = 62 should be distributed as 2y + 12; y = 3The equation should be y + 6 = 4y after division by 2; y = 2The equation should be y + 6 = 4y after division by 2; y = 1

Answer 1

Given the equation;

`2(y+6)=4y`

Now, distribute 2;

`\begin{gathered} 2(y)+2(6)=4y \\ \\ 2y+12=4y \end{gathered}`

Then, step 3;

`\begin{gathered} 12=4y-2y \\ \\ 2y=12 \end{gathered}`

Divide both sides by 2;

`\begin{gathered} (2y)/(2)=(12)/(2) \\ \\ y=6 \end{gathered}`

CORRECT OPTION: 2 should be distributed as 2y + 12; y = 6