Answer :
To determine the number of solutions for the equation [tex]\(33x + 99 = 33x - 99\)[/tex], we can follow these steps:
1. Start by simplifying the equation:
[tex]\[
33x + 99 = 33x - 99
\][/tex]
2. Subtract [tex]\(33x\)[/tex] from both sides:
[tex]\[
33x + 99 - 33x = 33x - 99 - 33x
\][/tex]
Simplifying both sides results in:
[tex]\[
99 = -99
\][/tex]
3. Analyze the result:
The equation simplifies to [tex]\(99 = -99\)[/tex], which is a contradiction. This means that the left side is not equal to the right side for any value of [tex]\(x\)[/tex].
4. Conclusion:
Since simplifying the equation leads to a contradiction, it indicates that there are no values of [tex]\(x\)[/tex] that can satisfy the equation. Therefore, the equation has no solutions.
1. Start by simplifying the equation:
[tex]\[
33x + 99 = 33x - 99
\][/tex]
2. Subtract [tex]\(33x\)[/tex] from both sides:
[tex]\[
33x + 99 - 33x = 33x - 99 - 33x
\][/tex]
Simplifying both sides results in:
[tex]\[
99 = -99
\][/tex]
3. Analyze the result:
The equation simplifies to [tex]\(99 = -99\)[/tex], which is a contradiction. This means that the left side is not equal to the right side for any value of [tex]\(x\)[/tex].
4. Conclusion:
Since simplifying the equation leads to a contradiction, it indicates that there are no values of [tex]\(x\)[/tex] that can satisfy the equation. Therefore, the equation has no solutions.
