How Many Solutions?

Front

What is the definition of an equation with no solution?

Back

An equation with no solution occurs when two expressions are equal in form but have different constants, leading to a contradiction.

Front

What are the characteristics of an equation with no solution?

Back

Same Coefficient, Different Constant.

Front

What is the definition of an equation with infinite solutions?

Back

An equation with infinite solutions occurs when both sides of the equation are identical, meaning any value for the variable will satisfy the equation.

Front

What are the characteristics of an equation with infinite solutions?

Back

Same Coefficient; Same Constant.

Front

Back

No solutions.

Front

Back

Infinitely many solutions.

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Back

Infinite solutions.

Front

What does it mean if an equation has one solution?

Back

An equation has one solution when there is exactly one value for the variable that satisfies the equation.

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Back

Infinite solutions.

Front

What is the first step in determining the number of solutions for an equation?

Back

Simplify both sides of the equation.