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 the first step in the elimination method?

Back

The first step is to manipulate the equations (by multiplying or adding) to align the coefficients of one variable so that it can be eliminated.

Front

Given the equations 5x - 4y = 11 and 5x + 4y = -14, what is the resulting combined equation?

Back

10x = -3

Front

If you multiply the equation 2x - 6y = 20 by -1, what is the new equation?

Back

-2x + 6y = -20

Front

What is the resulting combined equation for the system 9x + y = 12 and -9x + y = 6?

Back

2y = 18

Front

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

Back

y

Front

What does it mean to eliminate a variable in a system of equations?

Back

To eliminate a variable means to manipulate the equations so that one variable is removed, making it easier to solve for the other variable.

Front

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

Back

Aligning coefficients allows for the direct cancellation of one variable when the equations are added or subtracted.

Front

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

Back

Choose the variable that has the same or easily manipulable coefficients in both equations.

Front

What is the result of adding the equations 5x - 4y = 11 and 5x + 4y = -14?

Back

10x = -3