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Answer :
Let's solve the equation step-by-step to see how many solutions it has:
The given equation is:
[tex]\[ 33x + 99 = 33x - 99 \][/tex]
1. Subtract [tex]\(33x\)[/tex] from both sides:
[tex]\[ 33x + 99 - 33x = 33x - 99 - 33x \][/tex]
Simplifying both sides, we get:
[tex]\[ 99 = -99 \][/tex]
2. Analyze the equation:
- We end up with a statement [tex]\(99 = -99\)[/tex].
- This statement is false because 99 is not equal to -99.
When simplifying the equation results in a false statement, like [tex]\(99 = -99\)[/tex], that means there is no value of [tex]\(x\)[/tex] that will satisfy the original equation.
Therefore, the equation [tex]\(33x + 99 = 33x - 99\)[/tex] has no solution.
The given equation is:
[tex]\[ 33x + 99 = 33x - 99 \][/tex]
1. Subtract [tex]\(33x\)[/tex] from both sides:
[tex]\[ 33x + 99 - 33x = 33x - 99 - 33x \][/tex]
Simplifying both sides, we get:
[tex]\[ 99 = -99 \][/tex]
2. Analyze the equation:
- We end up with a statement [tex]\(99 = -99\)[/tex].
- This statement is false because 99 is not equal to -99.
When simplifying the equation results in a false statement, like [tex]\(99 = -99\)[/tex], that means there is no value of [tex]\(x\)[/tex] that will satisfy the original equation.
Therefore, the equation [tex]\(33x + 99 = 33x - 99\)[/tex] has no solution.
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