Systems-Elimination Flashcard

Front

What is the elimination method in solving systems of equations?

Back

The elimination method is a technique used to solve systems of equations by eliminating one variable, allowing for the other variable to be solved directly.

Front

How do you determine which variable to eliminate in a system of equations?

Back

To determine which variable to eliminate, look for coefficients that can be easily manipulated to create opposites, allowing for cancellation when the equations are added or subtracted.

Front

Back

(5, 4)

Front

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

Back

A system has no solution if the equations represent parallel lines that never intersect.

Front

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

Back

A system has infinitely many solutions if the equations represent the same line, meaning every point on the line is a solution.

Front

Back

(3, -2)

Front

What is the first step in using the elimination method?

Back

The first step is to align the equations and decide which variable to eliminate by manipulating the coefficients.

Front

Back

the y

Front

Back

the x

Front

What is a system of equations?

Back

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