Question
Malik solved this system of equations.
2 x + 4 y = 24. 5 x + y = 15.
As the first step, he decided to solve for x in the first equation because it has a small, even number for the coefficient. Jill told him there was a more efficient way. What reason can Jill give for her statement?
The variable y in the second equation has a coefficient of one so there will be fewer steps to the solution.
The variable x in the second equation has a coefficient of 5 so it will be easy to divide 15 by 5.
The variable y in the first equation is divisible by 2 so it will be the most efficient way to start.
The variable y in the first equation has a larger even number. When dividing by 4, the solution will be a smaller number.
2 x + 4 y = 24. 5 x + y = 15.
As the first step, he decided to solve for x in the first equation because it has a small, even number for the coefficient. Jill told him there was a more efficient way. What reason can Jill give for her statement?
The variable y in the second equation has a coefficient of one so there will be fewer steps to the solution.
The variable x in the second equation has a coefficient of 5 so it will be easy to divide 15 by 5.
The variable y in the first equation is divisible by 2 so it will be the most efficient way to start.
The variable y in the first equation has a larger even number. When dividing by 4, the solution will be a smaller number.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
Jill can say that "the variable y in the second equation has a coefficient of one so there will be fewer steps to the solution."
This is because when y has a coefficient of 1, it allows us to solve for y directly with fewer operations. In contrast, solving for x in the first equation would involve more manipulation since x has a coefficient of 2, which may require additional steps to isolate. Therefore, starting with the second equation is more efficient.
This is because when y has a coefficient of 1, it allows us to solve for y directly with fewer operations. In contrast, solving for x in the first equation would involve more manipulation since x has a coefficient of 2, which may require additional steps to isolate. Therefore, starting with the second equation is more efficient.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.