Question

Noah is solving an equation, and one of his moves is unacceptable. Here are the moves he made.

Which answer best explains why the “divide each side by step” is unacceptable?

a. When you divide both sides of 2x = 6x by X you get 2x² = 6x²

b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

c. When you divide both sides of 2x = 6x by x you get 2 = 6x.

d. When you divide both sides of 2x = 6x by x it could lead us to think that there is no solution while, in fact, the solution is x = 3

Answer 1

Answer:

b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.

Step-by-step explanation:

The solution is correct up to the step 2x = 6x

2x = 6x

Subtract 2x from both sides.

0 = 4x

Divide both sides by 4.

x = 0

You cannot divide both sides by x since x could be zero, and in fact, it is.

Answer: b. When you divide both sides by 2x = 6x it could lead us to think that there is no solution while, in fact, the solution is x = 0.