Systems of Linear Equations Review

Front

What is a system of linear equations?

Back

A set of two or more linear equations with the same variables.

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

Back

The lines representing the equations are parallel and never intersect.

Front

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

Back

The lines intersect at exactly one point.

Front

What does it mean if a system of linear equations has infinite solutions?

Back

The lines are identical, meaning they overlap completely.

Front

What is the elimination method?

Back

A technique for solving systems of equations by adding or subtracting equations to eliminate a variable.

Front

What is the substitution method?

Back

A technique for solving systems of equations by solving one equation for a variable and substituting that expression into the other equation.

Front

What is the graphing method?

Back

A technique for solving systems of equations by graphing the equations on the same coordinate plane and identifying the point of intersection.

Front

What is the equal values method?

Back

A technique where you set the two equations equal to each other to find the variable values.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

How do you determine if two lines are identical?

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Two lines are identical if they have the same slope and the same y-intercept.