Ask a New Question
Menu

Samuel is solving an equation for y

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

2y − 15 = 7
2 y minus 15 equals 7

2y − 7 = 15
2 y minus 7 equals 15

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

2y + 7 = 15

1 answer

To determine which equation Samuel is solving when he adds 7 to both sides, we can analyze each equation option.

  1. 2y − 15 = 7
    If he adds 7 to both sides:
    \( 2y - 15 + 7 = 7 + 7 \)
    \( 2y - 8 = 14 \) (this does not appear to be a reasonable choice).

  2. 2y − 7 = 15
    If he adds 7 to both sides:
    \( 2y - 7 + 7 = 15 + 7 \)
    \( 2y = 22 \) (this does not appear to be a reasonable choice).

  3. 2y + 15 = 7
    If he adds 7 to both sides:
    \( 2y + 15 + 7 = 7 + 7 \)
    \( 2y + 15 + 7 = 14 \) (this does not appear to be a reasonable choice).

  4. 2y + 7 = 15
    If he adds 7 to both sides:
    \( 2y + 7 + 7 = 15 + 7 \)
    \( 2y + 14 = 22 \) (this is a valid transformation).

After examining all the equations, the correct answer is:
2y + 7 = 15.