Question

Oliver wrote y plus 3 equals 16. Then he wrote left parenthesis y plus 3 right parenthesis divided by 6 equals 16. Explain why the second equation is not equivalent to the first. What can Oliver do to make the two equations​ equivalent?
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Part 1
Why is the second equation not equivalent to the​ first? Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
A.
The second equation is not equivalent because there are now two numbers on the left side of the equation.
B.
The second equation is not equivalent because only the left side is divided by
  
enter your response here.
C.
The second equation is not equivalent because only the left side is multiplied by
  
enter your response here.
D.
The second equation is not equivalent because the variable is only on the left side of the equation.

Answer 1

Answer: B. The second equation is not equivalent because only the left side is divided by 6.

You must do the same operation to both sides of an equation. To make them equivalent, divide the right side by 6 as well (i.e. divide both sides by 6). That gives
(y + 3)/6 = 16/6 = 8/3,
which is equivalent to y + 3 = 16.