Understanding Linear Equation Solution Types

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1. One Solution

Solve 7x – 35 = 0 to find the unique solution: x = 5.

2. No Solution

Examples like 7x – 35 = 5x + 2x – 27 lead to contradictions, meaning zero solutions.

3. Infinite Solutions

Solve 25x – 35 = 5(5x + 4) – 55, results in a statement always true, indicating infinite solutions.

4. Graphical Method

Intersecting lines on graphs show one solution, non-intersecting imply no solution, and overlapping means infinite solutions.

5. Algebraic Method

Solving equations algebraically checks for consistency and determines one, none, or infinite solutions.

6. Online Tutoring

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