https://file.aiquickdraw.com/mathbot/file/1723412111981zerd38gw.jpg

The equation in the image appears to state:

"If \( x = 6 \) and \( y = -9 \), then \( z = 6x - 6y \)."

Let's solve for \( z \) using the given values:

\[
z = 6x - 6y
\]

Substitute \( x = 6 \) and \( y = -9 \) into the equation:

\[
z = 6(6) - 6(-9)
\]

Calculate the values:

\[
z = 36 + 54 = 90
\]

Thus, the value of \( z \) is \( 90 \).

Would you like any further details, or do you have any questions?

Here are 8 related questions:
1. What would happen if the values of \( x \) and \( y \) were reversed?
2. How would the equation change if the coefficients of \( x \) and \( y \) were different?
3. What if \( y \) were a positive number instead of negative?
4. How would the equation look if both \( x \) and \( y \) were negative?
5. Can you express \( z \) as a function of \( x \) and \( y \)?
6. What if you were asked to solve for \( x \) or \( y \) instead of \( z \)?
7. How does changing the sign of \( y \) affect the result?
8. What is the impact of multiplying both sides of the equation by a constant?

**Tip:** When solving equations, always ensure you substitute the correct values and carefully perform arithmetic operations to avoid mistakes.

Learn how to solve the equation z = 6x - 6y with given values of x = 6 and y = -9. This problem covers basic arithmetic operations and substitution in equations. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation