Question
justify why -12 (x - 3) - 52 = -16 has one solution, infinitely many solutions, or no solution.
Answers
GPT 3.5
To determine whether the equation -12(x - 3) - 52 = -16 has one solution, infinitely many solutions, or no solution, we need to simplify and solve for x.
Expanding the equation, we have:
-12(x - 3) - 52 = -16
-12x + 36 - 52 = -16
-12x - 16 = -16
Adding 16 to both sides of the equation, we get:
-12x = 0
Dividing both sides of the equation by -12, we have:
x = 0
Therefore, the equation has one solution, which is x = 0.
Expanding the equation, we have:
-12(x - 3) - 52 = -16
-12x + 36 - 52 = -16
-12x - 16 = -16
Adding 16 to both sides of the equation, we get:
-12x = 0
Dividing both sides of the equation by -12, we have:
x = 0
Therefore, the equation has one solution, which is x = 0.