- Infinite solutions: In equations with infinite solutions, the two sides of the equation represent the same line on a graph. This means that every point on the line is a solution to the equation. These equations often have variables that can be eliminated, resulting in a statement that is always true regardless of the values of the variables.
- No solutions: In equations with no solutions, the two sides of the equation represent parallel lines on a graph. This means that the lines will never intersect, and there is no value that could make the equation true. These equations often result from conflicting information or contradictions in the values of the variables.
- One solution: In equations with one solution, the two sides of the equation represent intersecting lines on a graph. This means that there is a single point where the lines intersect, and that point represents the one solution to the equation. These equations often have variables that can be isolated and solved for in order to find the unique solution.
Solving linear equations
Infinite solutions, no solutions and one solution
What do you notice about equations that are in each of these categories use complete sentences to answer the questions that follow
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