Solving Systems 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?

Back

Finding the values of the variables that satisfy all equations in the system.

Front

What is the elimination method?

Back

A technique for solving systems of equations by eliminating one variable at a time.

Front

How do you eliminate a variable in a system of equations?

Back

By adding or subtracting the equations to cancel out one variable.

Front

What is the first step in the elimination method?

Back

Align the equations so that corresponding variables and constants are in the same columns.

Front

Solve by elimination: 4x + 9y = 28 and -4x - y = -28

Back

(7, 0)

Front

What is the solution to the system: 2x - 3y = -6 and -2x - 2y = 26?

Back

(-9, -4)

Front

Solve by elimination: x + 9y = 8 and -6x - 9y = -3

Back

(-1, 1)

Front

What is the solution to the system: -9x - 4y = -20 and 5x + 4y = 4?

Back

(4, -4)

Front

What does it mean if two equations are dependent?

Back

They have infinitely many solutions, as they represent the same line.