Mikayla and Jesse both solved the equation ×-15=12-8 using substitution. Mikayla says the answer is ×=19 and Jesse's answer is ×=27. Which student is correct and how do you know? Show your work and explain your thinking
To determine which student is correct, let's first solve the equation ourselves using the correct steps.
Given equation: × - 15 = 12 - 8
Step 1: Simplify both sides of the equation
× - 15 = 4
Step 2: Add 15 to both sides of the equation
× = 4 + 15
× = 19
Therefore, the correct answer is × = 19. Mikayla's answer is correct.
Explanation:
When solving equations, it is essential to follow the order of operations correctly. In this case, both Mikayla and Jesse used substitution to solve the equation, but only Mikayla applied the correct steps and obtained the correct answer. Jesse might have made a mistake in substituting the values or solving the equation, resulting in the incorrect answer of × = 27. It is essential to be diligent and careful when solving equations to avoid errors and arrive at the correct solution.