Elimination Practice

Front

What is the elimination method in solving systems of equations?

Back

The elimination method is a technique used to solve systems of linear equations by eliminating one variable, allowing for the solution of the remaining variable.

Front

How do you eliminate a variable in a system of equations?

Back

To eliminate a variable, you can add or subtract the equations in such a way that one variable cancels out.

Front

What is a system of linear equations?

Back

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

Front

What does it mean for a system of equations to be consistent?

Back

A consistent system of equations has at least one solution.

Front

What does it mean for a system of equations to be inconsistent?

Back

An inconsistent system of equations has no solutions.

Front

What is the solution to a system of equations?

Back

The solution to a system of equations is the set of values for the variables that satisfy all equations in the system.

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.

Front

How can you check if your solution to a system of equations is correct?

Back

You can check your solution by substituting the values back into the original equations to see if they hold true.

Front

What is the significance of the coefficients in a system of equations?

Back

Coefficients determine the slope and position of the lines represented by the equations, affecting the solution.

Front

What happens if the coefficients of one variable are the same in both equations?

Back

If the coefficients are the same, you can multiply one or both equations by a number to create opposites for elimination.