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Answer :
To classify the equation [tex]\(33x + 99 = 33x - 99\)[/tex], let's follow a step-by-step process:
1. Examine the Structure of the Equation:
The equation is [tex]\(33x + 99 = 33x - 99\)[/tex]. Notice that both sides have the term [tex]\(33x\)[/tex].
2. Simplify by Removing the Variable Term:
Subtract [tex]\(33x\)[/tex] from both sides of the equation. This step removes the [tex]\(33x\)[/tex] terms from both sides:
[tex]\[
33x + 99 - 33x = 33x - 99 - 33x
\][/tex]
Which simplifies to:
[tex]\[
99 = -99
\][/tex]
3. Analyze the Simplified Equation:
We end up with a statement that reads [tex]\(99 = -99\)[/tex]. Since this is a false statement (99 is not equal to -99), it means that the original equation has no values of [tex]\(x\)[/tex] that can satisfy it.
4. Conclusion:
Since we reached a false statement after simplifying, the equation [tex]\(33x + 99 = 33x - 99\)[/tex] has no solution.
In summary, since eliminating the variable term leaves us with an impossible statement, this tells us that the equation has no solution.
1. Examine the Structure of the Equation:
The equation is [tex]\(33x + 99 = 33x - 99\)[/tex]. Notice that both sides have the term [tex]\(33x\)[/tex].
2. Simplify by Removing the Variable Term:
Subtract [tex]\(33x\)[/tex] from both sides of the equation. This step removes the [tex]\(33x\)[/tex] terms from both sides:
[tex]\[
33x + 99 - 33x = 33x - 99 - 33x
\][/tex]
Which simplifies to:
[tex]\[
99 = -99
\][/tex]
3. Analyze the Simplified Equation:
We end up with a statement that reads [tex]\(99 = -99\)[/tex]. Since this is a false statement (99 is not equal to -99), it means that the original equation has no values of [tex]\(x\)[/tex] that can satisfy it.
4. Conclusion:
Since we reached a false statement after simplifying, the equation [tex]\(33x + 99 = 33x - 99\)[/tex] has no solution.
In summary, since eliminating the variable term leaves us with an impossible statement, this tells us that the equation has no solution.
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