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

Back

Creating a zero pair means adjusting the coefficients of one variable in the equations so that when added together, they cancel each other out, resulting in zero.

Front

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

Back

The variable y is eliminated.

Front

What is the first step in using the elimination method?

Back

The first step is to manipulate the equations to align the coefficients of one variable for elimination.

Front

How do you create a zero pair for the equations 2x - 6y = 20 and 2x + 5y = -11?

Back

Multiply the second equation by -1 to create a zero pair for the 2x terms.

Front

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

Back

The resulting equation is 10x = -3.

Front

What is the purpose of the elimination method?

Back

The purpose of the elimination method is to find the values of the variables in a system of equations by eliminating one variable at a time.

Front

What do you need to do if the coefficients of the variable you want to eliminate are not the same?

Back

You need to multiply one or both equations by a suitable number to make the coefficients of that variable equal.

Front

In the equation 4x + 3y = 1 and x - 3y = -11, which terms are eliminated first?

Back

The terms 3y and -3y are eliminated first.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that are solved together.