Justify why -12 (x-3)-52=-16 has one solution infinitely many solutions or no solutions a it has one solution because the solution is in the form x = a the solution is x = -12 B it has Infinity many solutions because the solution is in the form a equals a C it has no solution because the solution is in the form a equals B d it has one solution because the solution is in the form x = a the solution is x = 0

Question

Justify why -12 (x-3)-52=-16 has one solution infinitely many solutions or no solutions a it has one solution because the solution is in the form x = a the solution is x = -12 B it has Infinity many solutions because the solution is in the form a equals a C it has no solution because the solution is in the form a equals B d it has one solution because the solution is in the form x = a the solution is x = 0

Answer 1

The correct justification is:

C) It has no solution because the solution is in the form "a equals B"

In the given equation -12(x - 3) - 52 = -16, we can solve for x:

-12(x - 3) - 52 = -16
-12x + 36 - 52 = -16
-12x - 16 = -16

Now, let's simplify further:

-12x = 0

Dividing both sides by -12:

x = 0

So, the solution to the equation is x = 0. Therefore, there is one solution, and the solution is not x = -12 as mentioned in option A. Furthermore, option B is incorrect because it suggests that the equation has infinitely many solutions, which is not the case. Option D is also incorrect because it suggests that the solution is x = 0, but this contradicts the equation. Hence, the correct choice is C, which states that the equation has no solution.