Question

Jamie tries to solve this equation 15 - 3y = 24 by associating the 15 and 24 to get the equation -3y = 39. In the space below, explain Jamie's mistake and then correctly solve it explaining the corrections you made.

a) Jamie's mistake is in associating 15 and 24, which is incorrect. The correct equation is -3y = 9, and y = -3.
b) Jamie's mistake is in subtracting 24 from 15, which is incorrect. The correct equation is -3y = -9, and y = 3.
c) Jamie's mistake is in adding 15 and 24, which is incorrect. The correct equation is -3y = 9, and y = -3.
d) Jamie's mistake is in adding 15 and 24, which is incorrect. The correct equation is -3y = -9, and y = 3.

Answer 1

Jamie mistakenly added 15 and 24 when she should have subtracted 15 from 24. The corrected equation is -3y = 9, which solves to y = -3. So, the correct answer is B.

Step-by-step explanation:

Jamie's mistake is in adding 15 and 24, which is incorrect. The correct approach to solving the equation 15 - 3y = 24 involves subtracting 15 from both sides of the equation, not adding them. Therefore, the correct equation to solve is -3y = 9, not -3y = 39 as Jamie erroneously calculated. Now, to find the value of y, we divide both sides of the equation by -3, yielding y = -3.

So, the correct answer is b) Jamie's mistake is in subtracting 24 from 15, which is incorrect. The correct equation is -3y = -9, and y = 3.