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Answer :
To determine the number of solutions for the equation [tex]\(33x + 99 = 33x - 99\)[/tex], follow these steps:
1. Subtract [tex]\(33x\)[/tex] from both sides of the equation.
[tex]\(33x + 99 - 33x = 33x - 99 - 33x\)[/tex]
This simplifies to:
[tex]\(99 = -99\)[/tex]
2. Analyze the resulting equation.
The equation [tex]\(99 = -99\)[/tex] is clearly false because 99 is not equal to -99. This shows that there is a contradiction in the equation.
3. Classify the equation based on the outcome.
Since the equation simplifies to a false statement, it means that there is no possible value of [tex]\(x\)[/tex] that can satisfy the original equation. Hence, the equation has no solution.
In conclusion, the equation is classified as having no solution.
1. Subtract [tex]\(33x\)[/tex] from both sides of the equation.
[tex]\(33x + 99 - 33x = 33x - 99 - 33x\)[/tex]
This simplifies to:
[tex]\(99 = -99\)[/tex]
2. Analyze the resulting equation.
The equation [tex]\(99 = -99\)[/tex] is clearly false because 99 is not equal to -99. This shows that there is a contradiction in the equation.
3. Classify the equation based on the outcome.
Since the equation simplifies to a false statement, it means that there is no possible value of [tex]\(x\)[/tex] that can satisfy the original equation. Hence, the equation has no solution.
In conclusion, the equation is classified as having no solution.
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