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)
Mikayla is correct.
To show this, we can solve the equation using algebra.
x−15=12−8
x−15=4
x=4+15
x=19
Therefore, Mikayla is correct and the answer is x=19.
To determine which student is correct, let's solve the equation step by step using substitution.
Given equation: x - 15 = 12 - 8
We can start by simplifying the right side of the equation:
x - 15 = 4
To isolate x, we need to cancel out the -15 on the left side. We do this by adding 15 to both sides of the equation:
(x - 15) + 15 = 4 + 15
This simplifies to:
x = 19
Therefore, Mikayla is correct. The solution to the equation is x = 19.