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

Question

Responses

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

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

2y − 15 = 7
2 y minus 15 equals 7

2y − 7 = 15

Answer 1

To determine which equation Samuel is solving, we need to see which equation requires adding 7 to both sides to isolate \(y\).

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

   • If Samuel adds 7 to both sides, it would be: \[ 2y + 7 + 7 = 15 + 7 \] \[ 2y + 14 = 22 \]
   • This does not help in isolating \(y\).

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

   • Adding 7 to both sides: \[ 2y + 15 + 7 = 7 + 7 \] \[ 2y + 22 = 14 \]
   • This does not help in isolating \(y\).

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

   • Adding 7 to both sides: \[ 2y - 15 + 7 = 7 + 7 \] \[ 2y - 8 = 14 \]
   • This does not help in isolating \(y\).

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

   • Adding 7 to both sides: \[ 2y - 7 + 7 = 15 + 7 \] \[ 2y = 22 \]
   • This isolates \(y\).

Thus, the equation Samuel is solving is \(2y - 7 = 15\).