The given equation is:

\[
6 = \frac{-4}{3}u
\]

We need to solve for \( u \).

### Step-by-step solution:

1. **Multiply both sides by 3** to eliminate the fraction on the right side:
   
   \[
   6 \times 3 = \frac{-4}{3}u \times 3
   \]
   \[
   18 = -4u
   \]

2. **Divide both sides by -4** to solve for \( u \):
   
   \[
   \frac{18}{-4} = u
   \]
   \[
   u = -\frac{9}{2}
   \]

Thus, the solution is:

\[
u = -\frac{9}{2}
\]

Do you want more details or have any questions?

Here are five related questions for practice:
1. Solve: \( 7 = \frac{5}{2}u \)
2. Solve: \( 8 = \frac{-2}{3}u \)
3. Solve: \( 4 = \frac{3}{5}u \)
4. Solve: \( 10 = \frac{-6}{7}u \)
5. Solve: \( -12 = \frac{8}{5}u \)

**Tip:** Always multiply by the denominator first when solving equations with fractions to eliminate the fraction.

Learn how to solve the linear equation 6 = -4/3u using algebraic techniques. This problem includes key concepts like working with fractions, multiplying and dividing to isolate the variable, and is ideal 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