Answer :
To classify the equation [tex]\(33x + 99 = 33x - 99\)[/tex], we need to analyze whether it has one solution, no solution, or infinitely many solutions.
1. Subtract [tex]\(33x\)[/tex] from both sides of the equation:
[tex]\[
33x + 99 - 33x = 33x - 99 - 33x
\][/tex]
This simplifies the equation to:
[tex]\[
99 = -99
\][/tex]
2. Analyze the resulting statement:
The equation [tex]\(99 = -99\)[/tex] is clearly not true because 99 is not equal to -99.
3. Determine the number of solutions:
Since the statement [tex]\(99 = -99\)[/tex] is false, it means that there is no value of [tex]\(x\)[/tex] that will satisfy the original equation. Therefore, the equation has no solutions.
In conclusion, the given equation [tex]\(33x + 99 = 33x - 99\)[/tex] has no solutions.
1. Subtract [tex]\(33x\)[/tex] from both sides of the equation:
[tex]\[
33x + 99 - 33x = 33x - 99 - 33x
\][/tex]
This simplifies the equation to:
[tex]\[
99 = -99
\][/tex]
2. Analyze the resulting statement:
The equation [tex]\(99 = -99\)[/tex] is clearly not true because 99 is not equal to -99.
3. Determine the number of solutions:
Since the statement [tex]\(99 = -99\)[/tex] is false, it means that there is no value of [tex]\(x\)[/tex] that will satisfy the original equation. Therefore, the equation has no solutions.
In conclusion, the given equation [tex]\(33x + 99 = 33x - 99\)[/tex] has no solutions.
