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Jesse says that the expressions 7(2x + 9) and 14x + 9 are equivalent

Do you agree with Jesse? Explain.

2 Answers

11 votes

Answer:

No.

Explanation:

7(2x+9) = 7(2x)+7(9) = 14x+63

14x+63 is not equal to 14x+9.

So the answer is no.

User John Glabb
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We can solve the equation 7(2x+9) = 14x+9 to get 0 = -54, which is a contradiction. Therefore, the expressions cannot be equivalent.

Jesse is incorrect. The expressions 7(2x + 9) and 14x + 9 are not equivalent.

To see this, let's distribute the 7 in the first expression:

7(2x + 9) = 14x + 63

Now, let's subtract 63 from both sides of the equation:

14x + 63 - 63 = 14x + 9 - 63

This simplifies to:

14x = 14x - 54

Finally, let's subtract 14x from both sides of the equation:

14x - 14x = 14x - 54 - 14x

This simplifies to:

0 = -54

This is a contradiction, so the expressions 7(2x + 9) and 14x + 9 cannot be equivalent.

User TomRichardson
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5.1k points