Number of Solutions

Front

What is the definition of a linear equation?

Back

Front

What does it mean if an equation has no solution?

Back

An equation has no solution when there is no value of the variable that can satisfy the equation. This often occurs when two lines are parallel.

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions when any value of the variable satisfies the equation. This occurs when two equations represent the same line.

Front

What is the process to determine the number of solutions for an equation?

Back

To determine the number of solutions, simplify the equation and check if it leads to a true statement (infinite solutions), a false statement (no solution), or a specific value (one solution).

Front

Back

Infinite Solution

Front

Back

Infinite Solution

Front

Back

One Solution

Front

Back

No Solution

Front

What is a contradiction in equations?

Back

A contradiction occurs when an equation simplifies to a false statement, indicating that there are no solutions.

Front

What is an identity in equations?

Back

An identity is an equation that is true for all values of the variable, indicating that there are infinite solutions.