-3/5u=-3 Solve the linear equation using equivalent equations to isolate the variable. Express your solution as an integer or as a simplified fraction.

To solve the equation \(\frac{-3}{5}u = -3\), follow these steps:

1. **Multiply both sides by 5 to eliminate the denominator:**

\[
\frac{-3}{5}u \times 5 = -3 \times 5
\]

This simplifies to:

\[
-3u = -15
\]

2. **Divide both sides by -3 to isolate \(u\):**

\[
\frac{-3u}{-3} = \frac{-15}{-3}
\]

This simplifies to:

\[
u = 5
\]

Thus, the solution is:

\[
u = 5
\]

Would you like further clarification or details?

Here are 5 related questions:
1. How do you solve a linear equation with fractions?
2. What are the steps to solve equations with variables on both sides?
3. How do you handle negative coefficients in linear equations?
4. Can you solve equations where the variable appears in both the numerator and denominator?
5. What is the role of equivalent equations in solving algebraic problems?

**Tip:** Always check your solution by substituting the value back into the original equation!

Learn how to solve the linear equation -3/5u = -3 using equivalent equations. This problem covers key algebra concepts like eliminating fractions and isolating the variable step-by-step. Suitable for students in Grades 6-8.

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