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 points)

Answer 1

To determine who is correct, we can solve the equation using substitution and compare the answers.

Given equation: x - 15 = 12 - 8

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

Jesse's solution:
x - 15 = 12 - 8
x - 15 = 4
x = 4 + 15
x = 27

Comparing both solutions, we can see that Mikayla's answer is correct (x = 19). This is because the solution obtained by substituting x = 19 back into the original equation satisfies the equation, while Jesse's answer (x = 27) does not satisfy the equation x - 15 = 12 - 8.

Therefore, Mikayla is correct and x = 19.