Q2W7 Weekly Flashcard

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Front

What does it mean if a system of equations has no solution?

Back

It means that the equations represent parallel lines that never intersect.

Front

What does it mean if a system of equations has one solution?

Back

It means that the equations represent lines that intersect at exactly one point.

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means that the equations represent the same line, resulting in an infinite number of intersection points.

Front

What is the elimination method in solving systems of equations?

Back

A method that involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Front

What is the graphing method in solving systems of equations?

Back

A method that involves graphing each equation on the same coordinate plane to find the point(s) of intersection.

Front

What is the definition of a dependent system of equations?

Back

A system where the equations represent the same line, resulting in infinitely many solutions.

Front

What is the definition of an independent system of equations?

Back

A system where the equations represent different lines that intersect at exactly one point.

Front

What is the definition of an inconsistent system of equations?

Back

A system where the equations represent parallel lines, resulting in no solutions.