Question

Which of the following equations have exactly one solution?

Answer 1

Answer:

A and C

Step-by-step explanation:

Answer 2

For choice A, we can rearrange the equation to $38x=0,$ so it has exactly one solution, $x=0.$

For choice B, we rearrange the equation to $38x=36,$ so this too has exactly one solution, $x=\frac{36}{38}=\frac{18}{19}.$

Rearranging the equation in choice C by eliminating the $x$ terms gives us the false equality $-18=18,$ so this equation has no solutions.

Eliminating $x$ in the equation in choice D gives the equality $18=18,$ which is always true, so this equation has infinitely many solutions.

Thus, we conclude that choices A and B work.