Let's solve the equation \( w + 7 = w + 9 \).

1. Subtract \( w \) from both sides:

\[
w + 7 - w = w + 9 - w
\]

This simplifies to:

\[
7 = 9
\]

Since \( 7 \) is not equal to \( 9 \), this equation has no solution. It's a contradiction, meaning there is no value of \( w \) that can satisfy the equation.

Would you like more details or have any questions about this problem?

Here are five related questions you might find interesting:
1. What is a contradiction in algebra, and how does it affect the solution of an equation?
2. How can you identify if an equation has no solution?
3. What does it mean if an equation has infinitely many solutions?
4. How can we solve a system of linear equations using substitution?
5. What is the difference between a consistent and inconsistent system of equations?

**Tip:** When you encounter a contradiction in an equation, it usually means the equation is inconsistent, and no solution exists.

Explore how to solve equations involving contradictions in algebra. This problem examines the equation w + 7 = w + 9 and explains why it has no solution. Suitable for high school students learning algebraic concepts.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation