Question
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After solving the algebraic equation , you
end up with . What does this mean?
Oy= all real numbers
O and 24
There are no solutions to this equation.
You made a mistake in your algebra

Ask by Pearson Donnelly. in the United States
Jan 23,2025

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Tutor-Verified Answer

Answer

There are no solutions to the equation.

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The Deep Dive

When you simplify the equation , you can divide both sides by 6 (as long as 6 is not zero, which it isn’t), leading you to . Simplifying this results in , which indicates an inconsistency. This means that the original equation has no solutions, as it implies a false statement.
The takeaway here is that when you reach a conclusion like in algebra, it indicates that the equation represents parallel lines that never intersect. Thus, there are no values of that satisfy this equation, solidifying your conclusion that there are no solutions. Keep this in mind as it’s a key concept in understanding equations in algebra!

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