12/11/24 CFU - 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 involves multiplying one of the equations by a number so that when added to the other equation, one of the variables cancels out, resulting in a simpler equation.

Front

How do you find the least common multiple (LCM) of coefficients in the elimination method?

Back

To find the LCM of coefficients, identify the coefficients of the variable you want to eliminate, and determine the smallest multiple that both coefficients share.

Front

What is the LCM of the coefficients 2 and 5?

Back

The LCM of 2 and 5 is 10.

Front

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

Back

The resulting equation is -2x + 6y = -20.

Front

What is a system of linear equations?

Back

A system of linear equations is a set of two or more linear equations with the same variables.

Front

What does it mean to combine like terms in an equation?

Back

Combining like terms involves simplifying an expression by adding or subtracting terms that have the same variable raised to the same power.

Front

What is the purpose of the elimination method?

Back

The purpose of the elimination method is to find the values of variables that satisfy all equations in a system.

Front

What is a variable in the context of algebra?

Back

A variable is a symbol, often represented by letters, that stands for an unknown value in mathematical expressions and equations.

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 so that they can be eliminated.