Mikayla and Jesse both solved the equation x−15=12−8 , using substitution. Mikayla says the answer is x=19 , and Jesse says the answer is x=27 . Which student is correct, and how do you know? Show your work and explain your thinking. (2 point

Answer 1

To determine which student is correct, we can simply evaluate their solutions by plugging them back into the original equation and checking if it holds true.

Mikayla's solution:
x - 15 = 12 - 8
x - 15 = 4
x = 4 + 15
x = 19

Checking in the original equation:
19 - 15 = 12 - 8
4 = 4

Since both sides of the equation are equal, Mikayla's solution of x = 19 is correct.

Jesse's solution:
x - 15 = 12 - 8
x - 15 = 4
x = 4 + 15
x = 19

Checking in the original equation:
27 - 15 = 12 - 8
12 ≠ 4

Therefore, Jesse's solution of x = 27 is incorrect. Mikayla is correct with the solution x = 19.