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Amaya used these steps to solve the equation 8x + 4 = 9 + 4(2x – 1). Which choice describes the meaning of her result, 4 = 5?
Amaya made a mistake because 4 is not equal to 5.
No values of x make the equation true.
All values of x make the equation true.
The solution is x = 4 or 5.
Amaya made a mistake because 4 is not equal to 5. This result indicates that there is no value of x that can satisfy the equation, meaning the original equation has no solutions. When you reach a false statement like this after solving an equation, it shows that the two sides of the equation are not equal and therefore, no values of x can make the equation true. Keep practicing, and you’ll get even better at solving equations!