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 − 7 = 15
2 y minus 7 equals 15

2y − 15 = 7
2 y minus 15 equals 7

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

2y + 15 = 7

Answer 1

If Samuel adds 7 to both sides of an equation, then the equation must have had a negative 7 on one side before the addition.

Let's analyze the equations given:

1. 2y − 7 = 15
   If we add 7 to both sides:
   2y - 7 + 7 = 15 + 7 → 2y = 22 (valid)

2. 2y − 15 = 7
   If we add 7 to both sides:
   2y - 15 + 7 = 7 + 7 → 2y - 8 = 14 (not valid)

3. 2y + 7 = 15
   If we add 7 to both sides:
   2y + 7 + 7 = 15 + 7 → 2y + 14 = 22 (not valid)

4. 2y + 15 = 7
   If we add 7 to both sides:
   2y + 15 + 7 = 7 + 7 → 2y + 22 = 14 (not valid)

From the analysis, the equation that Samuel is solving is 2y − 7 = 15.