Samuel is solving an equation for y

Question

𝑦
. His first step is to add 7 to both sides. Which equation is he solving?(1 point)
Responses

2y + 15 = 7
2
𝑦

+

15

=

7
2 y plus 15 equals 7

2y − 7 = 15
2
𝑦

−

7

=

15
2 y minus 7 equals 15

2y + 7 = 15
2
𝑦

+

7

=

15
2 y plus 7 equals 15

2y − 15 = 7

Answer 1

To determine which equation Samuel is solving, we can analyze each option based on the given information that the first step he takes is to add 7 to both sides.

1. 2y + 15 = 7: If he adds 7 to both sides, it would result in 2y + 15 + 7 = 7 + 7, which simplifies to 2y + 15 = 14. This doesn't make sense as an equation he would start with.

2. 2y - 7 = 15: Adding 7 to both sides gives 2y - 7 + 7 = 15 + 7, resulting in 2y = 22. This is a possible equation he could have started with, because upon adding 7, we could then manipulate it further.

3. 2y + 7 = 15: If he adds 7 to both sides, it would give 2y + 7 + 7 = 15 + 7, simplifying to 2y + 14 = 15. This does not hold.

4. 2y - 15 = 7: Adding 7 to both sides gives 2y - 15 + 7 = 7 + 7, which simplifies to 2y - 8 = 14. This doesn't make sense as the starting equation.

The correct answer is 2y - 7 = 15, as it allows for the operation of adding 7 to both sides as his first step.