Question

What kind of solution is this 13x-5=-5+13x

A.
Conditional, there is one solution: m=8

B.
Identity, there are infinite solutions; all real numbers are the solution.

C.
Inconsistent, there are no solutions to the equation

Answer 1

B.

Explanation:

Try solving:

13x - 5 = - 5 + 13x

13x - 13x = -5 + 5

0 = 0.

Therefore it is an identity.

We could make x any real value and the identity would hold.