Substitute y=x+2 into possible answers.

A. 2*(x+2) = 2*x + 2

2*x + 4 = 2*x + 2

subtracting 2*x from both sides:

4=2 <- This is NEVER true, so A gives NO solutions.

B. (x+2) - 2 = x.

x = x

This is ALWAYS true, allowing for x to be anything. Therefore, B gives infinite solutions.

To check the rest:

C. (x+2) = 2*x

Subtract x from both sides

2=x

C gives ONE solution.

D. (x+2) = 3*x - 1

Subtract x and add 1 to both sides.

3 = 2*x

Divide both sides by two.

x = 3/2.

D gives ONE solution.

The answer is B.

Y = 2x because x can be anyitng.

B