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 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 helps in eliminating a variable.

Front

What forms can equations be in to use the elimination method effectively?

Back

Equations should be in standard form (Ax + By = C) to use the elimination method effectively.

Front

How do you create a zero pair in 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 opposites.

Front

What is the first step in using the elimination method?

Back

The first step is to arrange both equations in standard form and align the variables.

Front

When is it necessary to multiply an equation in the elimination method?

Back

It is necessary to multiply an equation when the coefficients of the variable you want to eliminate are not opposites.

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What happens to the system of equations after eliminating a variable?

Back

After eliminating a variable, you will have a single equation with one variable that can be solved for its value.

Front

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

Back

The coefficients determine how the equations interact; they must be manipulated to create zero pairs for elimination.

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Can the elimination method be used for non-linear equations?

Back

The elimination method is primarily used for linear equations; non-linear equations may require different methods.

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What is the result of the elimination method?

Back

The result of the elimination method is the solution to the system of equations, typically expressed as an ordered pair (x, y).