Elimination Method Practice

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 eliminate a variable in a system of equations?

Back

To eliminate a variable, you can multiply one or both equations by a number so that the coefficients of one variable are opposites, allowing them to cancel out when the equations are added or subtracted.

Front

What does it mean to multiply an equation by -1?

Back

Multiplying an equation by -1 changes the signs of all terms in the equation, effectively flipping the equation to its opposite.

Front

Given the equations 5x - 4y = 11 and 5x + 4y = -14, which variable will be eliminated?

Back

The y variable will be eliminated when the two equations are added together.

Front

What is the solution to the system of equations 2x - 6y = 20 and 2x + 5y = -11?

Back

The solution is (-2, -3).

Front

How do you check the solution of a system of equations?

Back

To check the solution, substitute the values of the variables back into the original equations to see if both equations are satisfied.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that are solved together.

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

What happens if the coefficients of a variable are already opposites?

Back

If the coefficients are already opposites, you can directly add the equations to eliminate that variable.

Front

What is the result of adding the equations 4x + 9y = 28 and -4x - y = -28?

Back

The result is 8y = 0, which simplifies to y = 0.