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.///

Answer 1

To determine who is correct, let's solve the equation \( x - 15 = 12 - 8 \) step by step.

1. Simplify the right side of the equation: \[ 12 - 8 = 4 \] So, the equation now reads: \[ x - 15 = 4 \]

2. Add 15 to both sides to isolate \( x \): \[ x - 15 + 15 = 4 + 15 \] Simplifying that gives: \[ x = 19 \]

Mikayla's answer is \( x = 19 \), which is correct.

Jesse's answer is \( x = 27 \). Since we've shown that the solution to the equation \( x - 15 = 4 \) is \( x = 19 \), Jesse's solution is incorrect.

So, the final conclusion is:

• Mikayla is correct. The correct solution to the equation is \( x = 19 \).