12/3 Systems of Equations REVIEW

Front

What is a system of equations?

Back

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

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

Back

It means the equations represent parallel lines that never intersect.

Front

What is the solution to a system of equations?

Back

An ordered pair that satisfies all equations in the system.

Front

What are the slopes of parallel lines?

Back

The slopes of parallel lines are the same.

Front

What are opposite reciprocals?

Back

Two numbers whose product is -1, such as 2 and -1/2.

Front

How do you solve a system of equations by elimination?

Back

You manipulate the equations to eliminate one variable, allowing you to solve for the other.

Front

What is the graphical representation of a system of equations?

Back

It is the intersection point(s) of the lines represented by the equations.

Front

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

Back

It means the equations represent the same line.

Front

What is the first step in solving a system of equations by substitution?

Back

Solve one equation for one variable in terms of the other.

Front

What is the significance of the point of intersection in a system of equations?

Back

It represents the solution to the system, where both equations are true.