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 − 7 = 15 2 y minus 7 equals 15 2y − 15 = 7 2 y minus 15 equals 7 2y 7 = 15 2 y plus 7 equals 15 2y 15 = 7 2 y plus 15 equals 7
The equation that Samuel is solving is: 2y - 7 = 15
To identify the equation that Samuel is solving, let's understand what he did as his first step. Samuel added 7 to both sides of the equation.
This operation is done in order to isolate the variable, y, on one side of the equation. By adding 7 to both sides, Samuel is essentially trying to create an equation in which y stands alone on one side, while the other side represents the remaining terms.
Now, let's analyze the given options to identify the correct equation.
Option 1: 2y − 7 = 15
Option 2: 2y − 15 = 7
Option 3: 2y + 7 = 15
Option 4: 2y + 15 = 7
Since Samuel added 7 to both sides, the correct equation should have a positive 7 added to the existing equation. Therefore, the equation Samuel is solving is:
2y + 7 = 15
Hence, the correct option is Option 3: 2y + 7 = 15.