https://file.aiquickdraw.com/mathbot/file/17260556880689fkuye09.jpg

The problem in the image is:

\[
5x \times (-7y)
\]

To solve this:

1. Multiply the constants: \( 5 \times (-7) = -35 \).
2. Multiply the variables: \( x \times y = xy \).

Therefore, the result is:

\[
-35xy
\]

Would you like further details on this solution or have any questions?

Here are 5 related questions you might find useful:

1. How do you simplify expressions with multiple variables?
2. What happens when you multiply two negative numbers?
3. How do you factor expressions like \( 5x \times (-7y) \)?
4. How can you distribute multiplication over addition in expressions?
5. What is the difference between a term and a factor in algebraic expressions?

**Tip**: Always remember to apply the sign rules carefully when multiplying positive and negative numbers.

Please do the following calculation: 5x × (-7y)

Learn how to solve the algebraic expression 5x × (-7y) step-by-step. This problem involves multiplying constants and variables, applying algebraic multiplication rules, and understanding the sign change with negative numbers. Suitable for students in Grades 6-8.

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