Steps to Solving Systems by Elimination

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 solution of the other variable.

Front

What must the coefficients of the eliminated variable be in the elimination method?

Back

The coefficients of the eliminated variable must be opposites.

Front

In the system of equations 4x + 8y = 20 and -4x + 2y = -30, which variable will be eliminated using the elimination method?

Back

The variable x will be eliminated.

Front

What is the first step in using the elimination method for the equations 2x + 2y = -2 and 3x - 2y = 12?

Back

The first step is to cross out the 2y and -2y because when you add them, they equal 0.

Front

When solving for x, what must the coefficients of y be?

Back

The coefficients of y need to be opposites.

Front

What do you substitute the solved variable into to find the second variable?

Back

You substitute the solved variable into one of the original equations.

Front

What is a system of equations?

Back

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

Front

What does it mean for two equations to be consistent?

Back

Two equations are consistent if they have at least one solution.

Front

What does it mean for two equations to be independent?

Back

Two equations are independent if they have exactly one solution.

Front

What does it mean for two equations to be dependent?

Back

Two equations are dependent if they have infinitely many solutions.