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, making it possible to solve for the other variable.

Front

What does it mean to create a zero pair in the elimination method?

Back

Creating a zero pair means manipulating the equations so that one variable cancels out when the equations are added or subtracted.

Front

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

Back

You can determine which variable to eliminate by looking for coefficients that can be made equal or opposites through multiplication.

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

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

Back

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

Front

What is the resulting equation when you combine 9x + y = 12 and -9x + y = 6?

Back

The resulting equation is 2y = 18.

Front

In the equations -5x + 2y = 11 and 5x + 4y = 13, which variable will be eliminated?

Back

The variable x will be eliminated.

Front

What does it mean if there is no zero pair in a system of equations?

Back

If there is no zero pair, it means that the equations cannot be manipulated to eliminate a variable directly.

Front

What is the combined resulting equation for -2x + 6y = -20 and 2x + 5y = -11?

Back

The combined resulting equation is 11y = -31.

Front

What do you need to multiply the equation 5x - 2y = 11 by to create a zero pair with -10x + 3y = -4?

Back

You need to multiply the first equation by 2.