To solve the equation \(-9z = -6\), follow these steps:

1. Divide both sides of the equation by \(-9\) to isolate \(z\):
   \[
   z = \frac{-6}{-9}
   \]

2. Simplify the fraction:
   \[
   z = \frac{2}{3}
   \]

Thus, the solution is:
\[
z = \frac{2}{3}
\]

Would you like more details or have any questions?

Here are five related questions you might want to explore:

1. How would you solve \( -5z = 15 \)?
2. What happens if the equation has decimals, such as \( -7.5z = -3 \)?
3. How do you solve two-step equations like \( -9z + 4 = -6 \)?
4. What would be the solution if you had \( -9z = 0 \)?
5. Can you solve \( 9z = -6 \) and compare it to the current equation?

**Tip:** Always simplify fractions to their lowest terms for a cleaner solution!

Learn how to solve the linear equation −9z = −6 with a step-by-step solution. This problem focuses on basic algebraic concepts, including isolating the variable and simplifying fractions. 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