Samuel is solving an equation for y

Question

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

2y + 15 = 7
2 y plus 15 equals 7

2y + 7 = 15
2 y plus 7 equals 15

2y − 15 = 7
2 y minus 15 equals 7

2y − 7 = 15

Answer 1

To determine which equation Samuel is solving, we need to identify the equation that, after adding 7 to both sides, results in a simpler form.

1. For the equation \(2y + 15 = 7\):

   • Adding 7 to both sides gives \(2y + 15 + 7 = 7 + 7\) → \(2y + 15 = 14\) (not a possibility).

2. For the equation \(2y + 7 = 15\):

   • Adding 7 to both sides gives \(2y + 7 + 7 = 15 + 7\) → \(2y + 14 = 22\) (still not needed).

3. For the equation \(2y - 15 = 7\):

   • Adding 7 to both sides gives \(2y - 15 + 7 = 7 + 7\) → \(2y - 8 = 14\) (not matching).

4. For the equation \(2y - 7 = 15\):

   • Adding 7 to both sides gives \(2y - 7 + 7 = 15 + 7\) → \(2y = 22\) (this is a valid transformation).

After evaluating all options, the equation Samuel is solving is:

2y - 7 = 15