when solving linear equations what does it mean to have infinite solutions and what does it means to have no solutions and what does it means to have one solution
Having infinite solutions means that any value for the variable will make the equation true. This typically occurs when the equation represents a line, where any point on the line is a solution.
Having no solutions means that there is no value for the variable that will make the equation true. This typically occurs when the equation represents parallel lines, which do not intersect and have no common solution.
Having one solution means that there is only one specific value for the variable that will make the equation true. This typically occurs when the equation represents intersecting lines, where the lines meet at a single point.