An equation having no solutions means that there are no values for the variables that can satisfy the equation simultaneously. This typically occurs when the equations represent geometric entities, such as lines or planes, that do not intersect. In practical terms, it indicates that the constraints or conditions set by the equation cannot be met under any circumstances, demonstrating a fundamental inconsistency in the relationships described by the equation.
Consider the equations you circled as having no solutions. What does it mean if an equation has no solutions? In a few sentences
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