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 + 15 = 7
2 y plus 15 equals 7

2y − 7 = 15
2 y minus 7 equals 15

2y + 7 = 15

Answer 1

To determine which equation Samuel is solving, we need to consider that adding 7 to both sides of an equation means that he is likely trying to isolate the term involving y.

Let's analyze each option:

1. 2y − 15 = 7

   • If Samuel adds 7 to both sides: \(2y - 15 + 7 = 7 + 7\) This simplifies to \(2y - 8 = 14\), which does not isolate y.

2. 2y + 15 = 7

   • If he adds 7 to both sides: \(2y + 15 + 7 = 7 + 7\) This simplifies to \(2y + 22 = 14\), which does not isolate y.

3. 2y − 7 = 15

   • If he adds 7 to both sides: \(2y - 7 + 7 = 15 + 7\) This simplifies to \(2y = 22\), which is isolating y.

4. 2y + 7 = 15

   • If he adds 7 to both sides: \(2y + 7 + 7 = 15 + 7\) This simplifies to \(2y + 14 = 22\), which does not isolate y.

The only equation that when 7 is added to both sides results in isolating y is 2y − 7 = 15.

Therefore, the equation Samuel is solving is 2y − 7 = 15.