Solving Systems by Elimination

Front

What is a system of equations?

Back

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

Front

What does it mean to solve a system of equations by elimination?

Back

To eliminate one variable by adding or subtracting the equations, allowing you to solve for the other variable.

Front

What is the elimination method?

Back

A method for solving systems of equations by combining equations to eliminate one variable.

Front

How do you make coefficients equal for elimination?

Back

Multiply one or both equations by a number so that the coefficients of one variable are the same.

Front

What is the first step in solving a system by elimination?

Back

Align the equations and decide which variable to eliminate.

Front

Solve by elimination: 2x + 3y = 6 and 4x + 6y = 12.

Back

(0,0) - The equations are dependent.

Front

Solve by elimination: 3x + 2y = 12 and 6x + 4y = 24.

Back

(0,0) - The equations are dependent.

Front

Solve by elimination: 5x - 2y = 3 and 10x - 4y = 6.

Back

(0,0) - The equations are dependent.

Front

Solve by elimination: 4x + 5y = 20 and 2x + 3y = 12.

Back

(2,2) - The solution is (2,2).

Front

Solve by elimination: 7x + 3y = 1 and 14x + 6y = 2.

Back

(0,1) - The solution is (0,1).