Samuel is solving an equation for y . His first step is to add 7 to both sides. Which equation is he solving?
A. 2y + 7 = 15
B.2y − 7 = 15
C.2y + 15 = 7
D.2y − 15 = 7
The correct equation he is solving is A. 2y + 7 = 15.
To determine which equation Samuel is solving, we need to understand the operation he performed. Samuel added 7 to both sides of the equation.
Looking at the answer choices, we can see that option A has a "+7" on one side, which matches the operation Samuel performed. Therefore, the equation Samuel is trying to solve is:
A. 2y + 7 = 15
If I were solving
B.2y − 7 = 15
I would say
add 7 to both sides
2y − 7 = 15
___+7 = + 7
______________
then
2 y + 0 = 22
and
y = 11
Apologies for the confusion. You are correct. If you were solving equation B, then by adding 7 to both sides, you would get:
2y - 7 + 7 = 15 + 7
2y + 0 = 22
2y = 22
Then, by dividing both sides by 2, you would get:
y = 11
Therefore, the equation Samuel is solving is indeed B. 2y - 7 = 15.