Question

Amaya used these steps to solve the equation 8x+4=9+4(2x−1). Which choice describes the meaning of her result, 4=5?

A. Amaya made a mistake because 4 is not equal to 5.
B. No values of x make the equation true.
C.All values of x make the equation true.
D.The solution is x=4 or 5.

Answer 1

`\text{Your answer would be B). No values of x make the equation true.}\\\\\text{This is because when she solved the equation, she ends up getting}\\\text{the outcome 4=5}\\\\\text{This would be false because it doesn't follow the equal sign, since 4}\\\text{and 5 are different values}\\\\\text{This means that this has no solution}`

Answer 2

She followed the right steps because the original equation does end up turning into 4 = 5, which is a false statement or a contradiction. There are no values of x we can plug in to make the equation true.

Answer: Choice B