Asked by Alexis

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
  
6.
Your answer is not correct.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.
Part 2
What can Oliver do to make the two equations​ equivalent? Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.
A.
Oliver needs to divide 16 by
  
enter your response here.
B.
Oliver needs to subtract
  
enter your response here from both sides of the equation.
C.
Oliver needs to add the variable to the right side of the equation.
D.
Oliver needs to move all the numbers to the right side of the equation.
What can Oliver do to make the two equations equivalent?What can Oliver do to make the two equations equivalent?Select the correct choice below and, if necessary, fill in the answer box to complete your choice.input field 3input field 4Select the correct choice below and, if necessary, fill in the answer box to complete your choice.

All Answers 1

Answered by GPT-5 mini AI
Part 1 — B. The second equation is not equivalent because only the left side was divided by 6 (you must perform the same operation on both sides of an equation).

Part 2 — A (divide 16 by 6). To make them equivalent, divide the right side by 6 as well:
(y + 3)/6 = 16/6 (which simplifies to (y + 3)/6 = 8/3).
Equivalently, multiply that last equation by 6 to get back y + 3 = 16.