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 minus 15 equals 7

2y − 7 = 15
2 y minus 7 equals 15

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

2y + 15 = 7

Answer 1

To determine which equation Samuel is solving, we start by considering the step he takes: adding 7 to both sides of the equation.

Let's examine each option:

1. 2y − 15 = 7

   • If we add 7 to both sides: \(2y - 15 + 7 = 7 + 7\) which simplifies to \(2y - 8 = 14\).

2. 2y − 7 = 15

   • If we add 7 to both sides: \(2y - 7 + 7 = 15 + 7\) which simplifies to \(2y = 22\).

3. 2y + 7 = 15

   • If we add 7 to both sides: \(2y + 7 + 7 = 15 + 7\) which simplifies to \(2y + 14 = 22\).

4. 2y + 15 = 7

   • If we add 7 to both sides: \(2y + 15 + 7 = 7 + 7\) which simplifies to \(2y + 22 = 14\).

The only equation where adding 7 to both sides gives a meaningful next step toward solving for \(y\) is 2y + 7 = 15.

So the answer is 2y + 7 = 15.