Samuel is solving an equation for y . 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 + 15 = 7
2 y plus 15 equals 7
2y + 7 = 15
2 y plus 7 equals 15
2y - 7 = 15
Samuel is solving the equation:
2y + 7 = 15
or
2 y plus 7 equals 15.
To figure out which equation Samuel is solving, we need to understand how he's manipulating the equation. Samuel's first step is to add 7 to both sides. This means he wants to isolate y by moving the 7 term to the other side of the equation.
Let's analyze each option to see which one matches Samuel's first step:
1. 2y − 15 = 7: In this equation, there's a subtraction of 15, not an addition of 7. So, this is not the equation Samuel is solving.
2. 2y − 7 = 15: Here, Samuel adds 7 to both sides, so this option matches his first step.
3. 2y + 15 = 7: In this equation, the addition is on the opposite side than what Samuel is doing. This is not the equation Samuel is solving.
4. 2y + 7 = 15: This equation also matches Samuel's first step as he adds 7 to both sides.
Therefore, the correct equation Samuel is solving is 2y − 7 = 15.