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?

Answer 1

Answer:

Option A is correct

No values of x make the equation true              

Step-by-step 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.

Answer 2

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