Samuel is solving an equation for y

Question

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

2y − 15 = 7
2
𝑦

−

15

=

7
2 y minus 15 equals 7

2y + 15 = 7
2
𝑦

+

15

=

7
2 y plus 15 equals 7

2y + 7 = 15
2
𝑦

+

7

=

15
2 y plus 7 equals 15

2y − 7 = 15........

Answer 1

To determine which equation Samuel is solving after adding 7 to both sides, we need to analyze each equation.

1. Equation: 2y − 15 = 7

   • If Samuel adds 7 to both sides, it becomes:
     \( 2y - 15 + 7 = 7 + 7 \)
     Simplifying gives:
     \( 2y - 8 = 14 \)
   • This does not match the original equation.

2. Equation: 2y + 15 = 7

   • If Samuel adds 7 to both sides, it becomes:
     \( 2y + 15 + 7 = 7 + 7 \)
     Simplifying gives: \( 2y + 15 + 7 = 14 \)
   • This does not match the original equation.

3. Equation: 2y + 7 = 15

   • If Samuel adds 7 to both sides, it becomes:
     \( 2y + 7 + 7 = 15 + 7 \)
     Simplifying gives:
     \( 2y + 14 = 22 \)
   • This does not match the original equation.

4. Equation: 2y − 7 = 15

   • If Samuel adds 7 to both sides, it becomes:
     \( 2y - 7 + 7 = 15 + 7 \)
     Simplifying gives:
     \( 2y = 22 \)
   • This does not match the original equation.

Based on the analysis, after adding 7 to both sides of 2y − 7 = 15, Samuel will have \( 2y = 22 \), which indicates that this step would make sense in a solving process.

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