Question

How many solutions are there to the equation below?

12x + 32 = 12x - 7
O A. O
B. 1
O C. Infinitely many

Answer 1

Hey there!

Original Equation: 12x+32=12x-7

Subtract 12x: 32=-7

32 does not equal -7, so there is no solution.

Hope this helps :)

Answer 2

A

Explanation:

12x + 32 = 12x - 7

12x - 12x + 32 = 12x - 12x - 7

32 = -7

This is a false statement so the answer is A) 0.

Additionally, you can see that we have the quantity 12x on both sides but on one side, it's being added by 32 and on the other, it's being subtracted by 7. How can a quantity added by 32 be equal to the same quantity subtracted by 7? It is impossible for a real number to do so, therefore, the answer is 0.