9-X=-X+9    IS IT ONE SOLUTION NO SOLUTION OR INFINITE SOLUTIONS??

Let's solve the equation:

\[
9 - X = -X + 9
\]

### Step 1: Simplify both sides
Add \( X \) to both sides to eliminate the \( -X \) terms:

\[
9 = 9
\]

### Step 2: Analyze the result
The equation simplifies to \( 9 = 9 \), which is always true.

### Conclusion: 
This means the original equation is true for all values of \( X \). Therefore, the equation has **infinite solutions**.

Would you like further details or have any questions? 

Here are five related questions:
1. What is the difference between equations with no solution and infinite solutions?
2. How do you identify when an equation has one solution?
3. Can an equation have a finite number of solutions greater than 1?
4. What type of systems lead to infinite solutions in linear equations?
5. How do you graphically interpret equations with infinite solutions?

**Tip:** In equations, when variables cancel out and you're left with a true statement, it typically indicates infinite solutions!

9 - X = -X + 9 IS IT ONE SOLUTION NO SOLUTION OR INFINITE SOLUTIONS??

Learn how to solve the linear equation 9 - X = -X + 9 and understand why it has infinite solutions. This problem introduces key algebraic concepts such as simplifying equations and recognizing when an equation holds true for all values of a variable. Suitable for Grades 6-8.

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