Question
Justify why −12(x−3)−52=−16 has one solution, infinitely many solutions, or no solution.
It has infinitely many solutions because the solution is in the form a=a.
It has one solution, because the solution is in the form x=a. The solution is x=−12.
It has no solution because the solution is in the form a=b.
It has one solution because the solution is in the form x=a. The solution is x=0.
It has infinitely many solutions because the solution is in the form a=a.
It has one solution, because the solution is in the form x=a. The solution is x=−12.
It has no solution because the solution is in the form a=b.
It has one solution because the solution is in the form x=a. The solution is x=0.
Answers
GPT 3.5
The first option is correct. The equation −12(x−3)−52=−16 has one solution. The equation can be simplified as follows:
−12(x−3)−52=−16
−12x+36−52=−16
−12x−16=−16
−12x=0
Dividing both sides of the equation by -12, we get:
x = 0
Therefore, the equation has one solution, which is x = 0.
−12(x−3)−52=−16
−12x+36−52=−16
−12x−16=−16
−12x=0
Dividing both sides of the equation by -12, we get:
x = 0
Therefore, the equation has one solution, which is x = 0.