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)

Question

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)

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Answer 1

To solve the equation x−15=12−8 , we can first simplify the right side of the equation:

12−8 = 4

Substitute back into the original equation:

x - 15 = 4

Now, we can isolate x by adding 15 to both sides of the equation:

x - 15 + 15 = 4 + 15
x = 19

Therefore, Mikayla is correct. The answer is x = 19.