How many solutions does the following equation have?

10x−1=10x+4

This question requires you to show your work.

(1 point)
Responses

two solutions
two solutions

infinitely many solutions
infinitely many solutions

no solutions
no solutions

one solution

To solve the equation, let's isolate the variable x:

10x - 1 = 10x + 4

Subtract 10x from both sides:

-1 = 4

Since -1 is never equal to 4, the equation has no solutions.

Therefore, the correct response is no solution.