Respuesta :

Answer:

A: Infinite

B: One

C: No Solution

Step-by-step explanation:

Equation A:

[tex]3x-6=3(x-1)-3\\\\3x-6=3x-3-3\\\\\boxed{3x-6=3x-6}[/tex]

The sides are the same. This means that the equation has infinite solutions.

Equation B:

[tex]2x+7=-2x+7\\\\2x+7-7=-2x+7-7\\\\2x=-2x\\\\2x+2x=-2x+2x\\\\4x=0\\\\\frac{4x=0}{4}\\\\\boxed{x=0}[/tex]

The equation has one solution.

Equation C:

[tex]2x+7=2x\\\\2x-2x+7=2x-2x\\\\\boxed{7\neq 0}[/tex]

The final result is a contradiction. The equation has no solution.