Solving Systems - Elimination Method (GREEN)

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 using the elimination method?

Back

The first step is to manipulate the equations to align coefficients of one variable so that they can be eliminated when the equations are added or subtracted.

Front

Solve the system of equations using elimination: 4x + 3y = 1 and x - 3y = -11.

Back

(3, -6)

Front

What do you do if the coefficients of one variable are already opposites?

Back

If the coefficients are opposites, you can directly add the equations to eliminate that variable.

Front

Solve the system of equations using elimination: x + 5y = -27 and -2x - 5y = 24.

Back

(3, -6)

Front

What happens if you cannot eliminate a variable using the elimination method?

Back

If you cannot eliminate a variable, you may need to multiply one or both equations by a number to create opposites.

Front

Solve the system of equations using elimination: x - 2y = -19 and 5x + 2y = 1.

Back

(-3, 8)

Front

What is the purpose of changing the signs of an equation in the elimination method?

Back

Changing the signs can help create opposites for one of the variables, making it easier to eliminate that variable.

Front

Solve the system of equations using elimination: 2x + 2y = -2 and 3x - 2y = 12.

Back

(4, -4)

Front

What is a common mistake when using the elimination method?

Back

A common mistake is incorrectly aligning the equations or miscalculating when adding or subtracting the equations.