which value of x makes the equation 2/3x-=11 true

It looks like there was a small mistake in your equation. I'll assume you meant to write \( \frac{2}{3}x = -11 \).

To solve for \( x \):

1. **Multiply both sides by the reciprocal of \(\frac{2}{3}\)** (which is \(\frac{3}{2}\)) to isolate \( x \):
   \[
   x = -11 \times \frac{3}{2}
   \]
   
2. **Simplify the right-hand side**:
   \[
   x = \frac{-33}{2}
   \]

3. **Convert to a decimal or keep as a fraction**:
   \[
   x = -16.5 \quad \text{or} \quad x = \frac{-33}{2}
   \]

So, the value of \( x \) that makes the equation true is \( x = -16.5 \) or \( x = \frac{-33}{2} \).

Would you like more details or have any questions?

Here are some related questions:

1. How do you solve equations involving fractions?
2. What is the reciprocal, and why is it used in solving equations?
3. How can you convert between improper fractions and decimals?
4. What is the process for checking the solution to an equation?
5. How would the solution change if the equation was \( \frac{2}{3}x = 11 \) instead?

**Tip:** When dealing with fractions in equations, multiplying by the reciprocal is a powerful tool to isolate the variable quickly.

Learn how to solve the equation 2/3x = -11 with a detailed step-by-step solution. This problem involves solving linear equations with fractions, specifically isolating x by multiplying both sides by the reciprocal. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation