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Answer :
To classify the given equation [tex]\(33x + 99 = 33x - 99\)[/tex], let's solve it step by step:
1. Start with the given equation:
[tex]\[
33x + 99 = 33x - 99
\][/tex]
2. Subtract [tex]\(33x\)[/tex] from both sides to eliminate the [tex]\(x\)[/tex] terms:
[tex]\[
33x + 99 - 33x = 33x - 99 - 33x
\][/tex]
This simplifies to:
[tex]\[
99 = -99
\][/tex]
3. Analyze the resulting statement:
- We end up with [tex]\(99 = -99\)[/tex], which is a contradiction because 99 is not equal to -99.
Since the statement is false and we cannot find any [tex]\(x\)[/tex] that makes the original equation true, this means the equation has no solutions. This tells us that there is no value of [tex]\(x\)[/tex] that will satisfy the equation. Therefore, the equation is classified as having no solution.
1. Start with the given equation:
[tex]\[
33x + 99 = 33x - 99
\][/tex]
2. Subtract [tex]\(33x\)[/tex] from both sides to eliminate the [tex]\(x\)[/tex] terms:
[tex]\[
33x + 99 - 33x = 33x - 99 - 33x
\][/tex]
This simplifies to:
[tex]\[
99 = -99
\][/tex]
3. Analyze the resulting statement:
- We end up with [tex]\(99 = -99\)[/tex], which is a contradiction because 99 is not equal to -99.
Since the statement is false and we cannot find any [tex]\(x\)[/tex] that makes the original equation true, this means the equation has no solutions. This tells us that there is no value of [tex]\(x\)[/tex] that will satisfy the equation. Therefore, the equation is classified as having no solution.
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