Intro to Elimination Method

Front

What is the elimination method in solving systems of equations?

Back

A method used to eliminate one variable by adding or subtracting equations, allowing for the solution of the remaining variable.

Front

What is the main goal of the elimination method?

Back

To eliminate one variable and solve for the remaining variable.

Front

What is the first step in the elimination method?

Back

Multiply one or both equations by a constant to align coefficients.

Front

What is the final step in the elimination method?

Back

Substitute the found value back into one of the original equations to solve for the other variable.

Front

Solve the system of equations: 3x + 2y = 9 and 3x - 3y = 4.

Back

x = 7/3, y = 1.

Front

Solve the system of equations: 4x - 3y = 5 and 2x + 3y = 1.

Back

x = 1, y = -1/3.

Front

What does it mean to 'eliminate a variable'?

Back

To manipulate the equations so that one variable cancels out, allowing for the solution of the other variable.

Front

How can you check your solution after using the elimination method?

Back

Substitute the values of the variables back into the original equations to verify they hold true.

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

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

Back

Aligning coefficients allows for easy addition or subtraction of equations to eliminate a variable.