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?

Answer 1

No values of x make the equation true.

Answer 2

No value of x makes the equation true.

Explanation:

Here are the choices which are missing in the question:

a) Amaya made a mistake because 4 is not equal to 5

b) No value of x make the equation true.

c) All value of x make the equation true.

d) The solution is x= 4 or 5

Given equation is
`8x+4=9+4(2x-1)`

Now, solving the equation:

`8x+4=9+4(2x-1)`

distributing 4 with both 2x and -1

⇒
`8x+4= 9+8x-4`

⇒
`8x+4= 5+8x`

Subtracting both side by 8x

∴ 4=5

The result indicate that equation has the same result and x has no value.