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 + 7 = 15
2 y plus 7 equals 15
2y − 15 = 7
2 y minus 15 equals 7
2y + 15 = 7
2y - 7 = 15
The equation Samuel is solving is 2y + 7 = 15.
To determine which equation Samuel is solving, we need to understand the step he took to add 7 to both sides of the equation.
By adding 7 to both sides of the equation, we are eliminating the -7 from the equation. This step is done to isolate the variable 'y' on one side of the equation and simplify it.
Let's go through each equation and see if it aligns with Samuel's step of adding 7 to both sides:
1) 2y - 7 = 15: In this equation, there is already a -7 on the left side, and adding 7 to both sides would eliminate it. So this could be the equation Samuel is solving.
2) 2y + 7 = 15: In this equation, there is a +7 on the left side. Samuel's step of adding 7 to both sides would not eliminate it, but instead create a new term. So this is not the equation Samuel is solving.
3) 2y - 15 = 7: In this equation, there is a -15 on the left side. Samuel's step of adding 7 to both sides would not eliminate it, but again create a new term. So this is not the equation Samuel is solving.
4) 2y + 15 = 7: In this equation, there is a +15 on the left side. Samuel's step of adding 7 to both sides would not eliminate it, but create a larger positive value. So this is not the equation Samuel is solving.
Based on the analysis, the equation Samuel is solving is 2y - 7 = 15.