Answer :
To solve and classify the equation [tex]\( 33x + 99 = 33x - 99 \)[/tex], let's follow these steps:
1. Start with the given equation:
[tex]\[
33x + 99 = 33x - 99
\][/tex]
2. Subtract [tex]\( 33x \)[/tex] from both sides of the equation to try to simplify it further:
[tex]\[
33x + 99 - 33x = 33x - 99 - 33x
\][/tex]
3. Simplify both sides:
[tex]\[
99 = -99
\][/tex]
4. Analyze the result:
You end up with the statement [tex]\( 99 = -99 \)[/tex]. This is a false statement. Since both sides of the equation cannot be equal, there is no possible solution for [tex]\( x \)[/tex] that can satisfy the equation.
5. Conclusion:
Because the equation simplifies to a false statement, there are no values for [tex]\( x \)[/tex] that make the equation true. Therefore, the equation has no solution.
1. Start with the given equation:
[tex]\[
33x + 99 = 33x - 99
\][/tex]
2. Subtract [tex]\( 33x \)[/tex] from both sides of the equation to try to simplify it further:
[tex]\[
33x + 99 - 33x = 33x - 99 - 33x
\][/tex]
3. Simplify both sides:
[tex]\[
99 = -99
\][/tex]
4. Analyze the result:
You end up with the statement [tex]\( 99 = -99 \)[/tex]. This is a false statement. Since both sides of the equation cannot be equal, there is no possible solution for [tex]\( x \)[/tex] that can satisfy the equation.
5. Conclusion:
Because the equation simplifies to a false statement, there are no values for [tex]\( x \)[/tex] that make the equation true. Therefore, the equation has no solution.
