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

1 answer

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.