The expression \( 5x \times (-7y) \) can be simplified by multiplying the numerical coefficients and then writing the product of the variables together.

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

Thus, the simplified expression is:

\[
-35xy
\]

Would you like more details or have any further questions?

Here are 5 related questions:
1. What is the result of multiplying \( -4x \times 6y \)?
2. How do you distribute \( 5x \times (-7y + 3) \)?
3. What is the product of \( 3x^2 \times (-2y^3) \)?
4. How do you multiply two binomials, such as \( (x + 2) \times (x - 3) \)?
5. How do you factor the expression \( -35xy + 70x \)?

**Tip:** When multiplying variables, make sure to multiply both the coefficients and the variables separately before combining them.

Learn how to simplify the algebraic expression 5x × (-7y) by multiplying both coefficients and variables. This problem explains the multiplication of terms and the application of the distributive property. Suitable for students in Grades 6-8.

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