Answer :
To classify the equation [tex]\(33x + 99 = 33x - 99\)[/tex] as having one solution, no solution, or infinitely many solutions, let's go through the steps to simplify it:
1. Start with the original equation:
[tex]\[
33x + 99 = 33x - 99
\][/tex]
2. Subtract [tex]\(33x\)[/tex] from both sides of the equation to eliminate the [tex]\(x\)[/tex] terms:
[tex]\[
33x + 99 - 33x = 33x - 99 - 33x
\][/tex]
3. Simplify both sides:
[tex]\[
99 = -99
\][/tex]
4. Now, evaluate the simplified equation [tex]\(99 = -99\)[/tex]. Since this statement is false (99 is not equal to -99), the equation does not hold true for any value of [tex]\(x\)[/tex].
5. This means that there are no possible solutions for the equation. Therefore, the equation has no solution.
1. Start with the original equation:
[tex]\[
33x + 99 = 33x - 99
\][/tex]
2. Subtract [tex]\(33x\)[/tex] from both sides of the equation to eliminate the [tex]\(x\)[/tex] terms:
[tex]\[
33x + 99 - 33x = 33x - 99 - 33x
\][/tex]
3. Simplify both sides:
[tex]\[
99 = -99
\][/tex]
4. Now, evaluate the simplified equation [tex]\(99 = -99\)[/tex]. Since this statement is false (99 is not equal to -99), the equation does not hold true for any value of [tex]\(x\)[/tex].
5. This means that there are no possible solutions for the equation. Therefore, the equation has no solution.
