Answer: second and fourth choices have infinitely many solutions
Step-by-step explanation:
When you combine the like terms in those two equations you end up with an "identity." Both sides of the equation are the same.
x - 1/3(3x) = 0 . 1/3 of 3x is 1x
x - x = 0 any number minus itself is 0
or add x to both sides x-x+x = 0 + x
x = x is an identity. An identity has infinite solutions.
3x + 2 - 1/3(3x) = 2 + 2x
3x + 2 -x = 2 + 2x
2x +2 = 2 + 2x . same thing! Infinite solutions.
