First, let's examine the given equation:
[tex]\[ 13 = -4 \][/tex]
This equation states that 13 is equal to -4. However, when we look closely, we see that 13 and -4 are two very different numbers. There is no value for [tex]\( x \)[/tex] that can make these two numbers equal, as 13 is a positive number and -4 is a negative number.
When we attempt to solve this equation by any algebraic means, we find that it is inherently false. There's no mathematical operation or substitution that can make the left-hand side equal to the right-hand side.
Therefore, the equation [tex]\( 13 = -4 \)[/tex] has no solutions.
The answer is:
None of the given options (A, B, C, or D) are correct. The correct answer to this question is that there are no solutions.
