What do you notice about equations that have no solutions, one solutions, and infinite solutions, that are in each of these categories? Use complete sentences to answer the questions that follow. Explain in 2-3 sentences
Equations that have no solutions typically have contradictory statements or are inconsistent. This can happen when two expressions are not equal, making it impossible to find a solution that satisfies both sides of the equation.
Equations that have one solution have one unique value that satisfies the equation. This occurs when both sides of the equation are equal and there is only one value that can make the equation true.
Equations that have infinite solutions have multiple values that satisfy the equation. This can happen when the two sides of the equation are equivalent, leading to an infinite number of solutions that are valid.