elimination method!!!

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 other variable.

Front

What is a zero pair in the context of the elimination method?

Back

A zero pair occurs when two terms in an equation cancel each other out, resulting in a sum of zero, which simplifies the equation.

Front

How do you create a zero pair using the elimination method?

Back

To create a zero pair, you can multiply one or both equations by a number that will make the coefficients of one variable equal and opposite.

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 to the variable that is eliminated in the elimination method?

Back

The eliminated variable is removed from the equations, allowing you to solve for the remaining variable.

Front

If you have the equations 2x + 3y = 6 and 4x + 6y = 12, what can you conclude?

Back

The two equations are dependent; they represent the same line and have infinitely many solutions.

Front

What is the significance of the coefficients in the elimination method?

Back

The coefficients determine how to manipulate the equations to create zero pairs and ultimately solve for the variables.

Front

What is the resulting equation when you combine 5x - 4y = 11 and 5x + 4y = -14?

Back

The resulting equation is 10x = -3.

Front

What do you multiply the equation 5x - 2y = 11 by to eliminate x when paired with -10x + 3y = -4?

Back

You multiply the first equation by 2.

Front

In the equations 5x - 4y = 11 and 5x + 4y = -14, which variable is eliminated?

Back

The y variable is eliminated.