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 minus 7 equals 15

2y − 15 = 7
2 y minus 15 equals 7

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

2y + 7 = 15

Answer 1

To determine which equation Samuel is solving, we need to identify which equation results in needing to add 7 to both sides.

If we start with the equation \(2y - 7 = 15\), when Samuel adds 7 to both sides, he gets:

\[ 2y - 7 + 7 = 15 + 7 \] \[ 2y = 22 \]

Now let's check the other equations:

1. For \(2y - 15 = 7\): \[ 2y - 15 + 7 = 7 + 7 \] Would require adding 15, not 7.

2. For \(2y + 15 = 7\): \[ 2y + 15 + 7 = 7 + 7 \] Would require subtracting 15, not adding 7.

3. For \(2y + 7 = 15\): \[ 2y + 7 - 7 = 15 - 7 \] Would require subtracting 7, not adding.

The only equation that correctly leads to the need to add \(7\) to both sides is:

\(2y - 7 = 15\)

So, the answer is:

2y − 7 = 15