Question

Can someone help me with this?

Which of the following equations have exactly one solution?
Choose all answers that apply:

Answer 1

Hello, the answer should be A,B and D options.

First, let's edit the given equations option-by-option.

Option A:

`-5x+12=5x+12`

`-5x-5x=-12+12`

`-10x=0`

`x=0`

There is only one solution which is
`x=0`.

Option B:

`-5x+12=5x-5`

`-5x-5x=-12-5`

`-10x=-17`

`x=(17)/(10)`

There is only one solution which is
`x=(17)/(10)`.

Option C:

`-5x+12=-5x-12`

`-5x+5x=-12-12`

`0\\eq -24`

In Math, zero is not equal to minus twenty four (
`0\\eq -24`) that's why we do not have any solution in this equation.

Option D:

`-5x+12=-12x-12`

`-5x+12x=-12-12`

`7x=-24`

`x=-((24)/(7) )`

There is only one solution which is
`x=-((24)/(7) )`