To solve the equation \(\frac{-3p}{4} = \frac{3}{4}\), we need to isolate the variable \(p\). Here’s a step-by-step solution:

1. **Eliminate the denominators**:
   Multiply both sides of the equation by 4 to get rid of the denominators:
   \[
   4 \cdot \frac{-3p}{4} = 4 \cdot \frac{3}{4}
   \]
   Simplifying both sides, we get:
   \[
   -3p = 3
   \]

2. **Solve for \(p\)**:
   Divide both sides of the equation by -3 to isolate \(p\):
   \[
   p = \frac{3}{-3}
   \]
   Simplifying, we get:
   \[
   p = -1
   \]

Therefore, the solution to the equation \(\frac{-3p}{4} = \frac{3}{4}\) is \(p = -1\).

Would you like more details or have any questions?

Here are some related questions for further practice:

1. Solve \(\frac{2x}{5} = \frac{6}{5}\).
2. Solve \(\frac{-4y}{6} = \frac{8}{6}\).
3. Solve \(\frac{5k}{7} = \frac{10}{7}\).
4. Solve \(\frac{-7m}{8} = \frac{21}{8}\).
5. Solve \(\frac{9n}{3} = \frac{27}{3}\).

**Tip:** When dealing with fractions, multiplying both sides of the equation by the denominator can help eliminate the fractions and simplify the problem.

Learn how to solve the linear equation -3p/4 = 3/4 with a detailed step-by-step explanation. This problem involves working with fractions and algebraic 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