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Answer :
Certainly! Let's classify the equation [tex]\( 33x + 99 = 33x - 99 \)[/tex] as having one solution, no solution, or infinitely many solutions. To do this, we'll follow these steps:
1. Start with the original equation:
[tex]\[
33x + 99 = 33x - 99
\][/tex]
2. Subtract [tex]\( 33x \)[/tex] from both sides of the equation to simplify it:
[tex]\[
33x + 99 - 33x = 33x - 99 - 33x
\][/tex]
This simplifies to:
[tex]\[
99 = -99
\][/tex]
3. Now we compare the simplified result:
[tex]\[
99 = -99
\][/tex]
4. Observe that [tex]\( 99 \)[/tex] is not equal to [tex]\( -99 \)[/tex]. Since this statement is false, it shows that there is no value of [tex]\( x \)[/tex] that can satisfy the original equation.
Therefore, based on our simplification and comparison, we conclude that the equation [tex]\( 33x + 99 = 33x - 99 \)[/tex] 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 simplify it:
[tex]\[
33x + 99 - 33x = 33x - 99 - 33x
\][/tex]
This simplifies to:
[tex]\[
99 = -99
\][/tex]
3. Now we compare the simplified result:
[tex]\[
99 = -99
\][/tex]
4. Observe that [tex]\( 99 \)[/tex] is not equal to [tex]\( -99 \)[/tex]. Since this statement is false, it shows that there is no value of [tex]\( x \)[/tex] that can satisfy the original equation.
Therefore, based on our simplification and comparison, we conclude that the equation [tex]\( 33x + 99 = 33x - 99 \)[/tex] has no solution.
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