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)

Answer 1

explain why its you answer

Answer 2

First, let's solve the equation by substituting the values given:

x - 15 = 12 - 8
x - 15 = 4

Now, add 15 to both sides:

x = 19

Therefore, Mikayla is correct and the answer is x = 19. This can be confirmed by plugging in the value of x back into the original equation:

19 - 15 = 12 - 8
4 = 4

This shows that x = 19 is the correct solution.

Answer 3

Thank you for the follow-up question.

In this case, we first solved the equation x - 15 = 12 - 8 using substitution to find x = 19. To verify this answer, we then replaced x with 19 in the original equation and ensured that the equation was true. The equation held true when x = 19, thus confirming the correctness of the solution. This process is a standard method for checking the accuracy of a solution in algebraic equations. So, Mikayla is correct, and x = 19 is the solution to the equation.