Question

Kaya used these steps to solve the equation 7 + 2x = 2(x - 1) + 4. Which choice describes the meaning of her result, 7 = 2?

A.) No values of x make the equation true              

B.) All values of x make the equation true

C.) The solution is x = 7 or 2

D.) Kaya made a mistake, because 7 is not equal to 2

Answer 1

Answer is A

7 + 2X = 2(X-1) + 4

7 + 2X = 2X-2+4

7 + 2X = 2X + 2 whether 2X = 2X-5 or 5 + 2X = 2X still 0 = 5 Or 0= -5 which is not possible

Answer 2

Option A is correct

No values of x make the equation true

Explanation:

Given the equation:

`7 +2x = 2(x-1)+4`

Using distributive property:
`a \cdot(b+c) = a\cdot b+ a\cdot c`

then;

`7+2x = 2x -2 +4`

⇒
`7+2x = 2x +2`

Subtract 2x from both sides we have;

`7 = 2` False

⇒No values of x make the equation true.