Systems Elimination

Front

What is the solution to the system of equations 2x + 3y = 6 and x - y = 1?

Back

(3, 0)

Front

What does it mean if two lines are parallel in a system of linear equations?

Back

They have no solution.

Front

What is the solution to the system of equations 4x - y = 7 and 2x + y = 3?

Back

(2, -1)

Front

If a system of linear equations has infinite solutions, what does this imply about the lines?

Back

They are the same line.

Front

What is the elimination method in solving systems of equations?

Back

A method to eliminate one variable by adding or subtracting equations.

Front

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

Back

Infinite solutions.

Front

What is the solution to the system of equations x + y = 5 and x - y = 1?

Back

(3, 2)

Front

What does it mean if a system of equations has no solution?

Back

The lines are parallel.

Front

Solve by elimination: 5x - 3y = 7 and 10x - 6y = 14.

Back

Infinite solutions.

Front

What is the solution to the system of equations 2x + y = 4 and 3x - y = 1?

Back

(1, 2)