Flashcard Review Equations #2

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What does it mean when an equation has 'No Solution'?

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An equation has 'No Solution' when there are no values for the variable that can satisfy the equation. This often occurs when the two sides of the equation represent parallel lines that never intersect.

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What does it mean when an equation has 'Infinite Solutions'?

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An equation has 'Infinite Solutions' when any value for the variable satisfies the equation. This typically happens when the equation simplifies to a true statement, such as 0=0.

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What is the equation for the total cost at Dexter's Gym after x months?

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This equation simplifies to a true statement (0=0), indicating that it has 'Infinite Solutions'.

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What does it mean for two equations to be equivalent?

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Two equations are equivalent if they have the same solution set, meaning they represent the same line or relationship in a graph.

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What is the significance of the registration fee in a linear equation?

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The registration fee represents the y-intercept in the linear equation, indicating the initial cost before any monthly fees are added.

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How can you check if your solution to an equation is correct?

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You can check your solution by substituting the value back into the original equation to see if both sides are equal.