Question

Paloma used these steps to solve the equation 6x+5=3(2x+1). Which choice describes the meaning of her result, 2=0?

A. The solution is x=2.
B. The result is not correct because Step 2 has an error.
C.All values of x make the equation true.
D.No values of x make the equation true.

Answer 1

No values of x make the equation true.

Answer 2

B. The result is not correct because Step 2 has an error.

Explanation:

6x+5=3(2x+1) Distribute on the right side

6x+5=6x+3

-6x -6x Subtract 6x from both sides

5≠3 There is no solution because 5 doesn't equal 3

The reason Paloma's result is wrong is because you can't subtract 3 from 5 and set it equal to 0

Ex: 5-3 = 0 2 = 0