x = 2 y + 1/y − 1 can you cross out one y in the denominator and onethe nominator?

No, you cannot simply cross out the \( y \) in the denominator and one in the numerator in this expression:

\[
x = 2y + \frac{1}{y} - 1
\]

This is because the terms are **separate** and **independent**. You can only cancel terms in fractions if both the numerator and the denominator have a common factor across a single fraction.

In this case, the expression contains three distinct terms:
1. \( 2y \)
2. \( \frac{1}{y} \)
3. \( -1 \)

The cancellation rule applies only within fractions and between factors. Since there's no overall common factor involving \( y \), it cannot be canceled.

Would you like me to further explain or simplify the expression?

Here are 5 related questions:
1. How do you simplify expressions with fractions involving variables?
2. When is it allowed to cancel terms across fractions?
3. Can you factor expressions to allow simplifications?
4. What are the rules for combining like terms?
5. How do you handle mixed expressions with variables in both numerator and denominator?

**Tip**: Always be sure terms are factored correctly before attempting any cancellation.

x = 2y + 1/y − 1 can you cross out one y in the denominator and one the numerator?

Discover why you cannot cancel out the variable y in the expression 2y + 1/y − 1. This problem explains the rules for simplifying algebraic fractions and the conditions under which cancellation is valid. Perfect for students in Grades 8-10 learning about rational expressions.

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