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 equations by eliminating one variable, allowing for the other variable to be solved directly.

Front

What is the first step in the elimination method?

Back

The first step is to manipulate the equations (by multiplying or adding) so that one of the variables has the same coefficient in both equations.

Front

What does it mean to eliminate a variable?

Back

To eliminate a variable means to combine the equations in such a way that one variable cancels out, allowing for the other variable to be isolated and solved.

Front

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

Back

10x = -3.

Front

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

Back

The y variable.

Front

What happens to the equations when you multiply by -1?

Back

Multiplying an equation by -1 reverses the signs of all terms in the equation.

Front

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

Back

-2x + 6y = -20.

Front

What is the purpose of combining equations in the elimination method?

Back

The purpose is to simplify the system to a single equation with one variable, making it easier to solve.

Front

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

Back

2y = 18.

Front

How do you determine which variable to eliminate?

Back

Choose the variable that can be easily eliminated by aligning coefficients through multiplication or addition.