Systems using elimination

Front

What is a system of linear equations?

Back

A set of 2 or more equations that have the same variables.

Front

Solve the system: 5x + 16y = -16 and -9x - 8y = 8.

Back

(0, -1)

Front

Solve the system: x + y = 2 and -3x + 4y = 15.

Back

(-1, 3)

Front

Solve the system: 6x - 3y = 27 and 2x - 3y = 11.

Back

(4, -1)

Front

Solve the system: 6x + 4y = 10 and 3x + 2y = -5.

Back

No Solutions

Front

What does it mean if a system of equations has infinite solutions?

Back

It means that the equations represent the same line, and there are countless points that satisfy both equations.

Front

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

Back

It means that the equations represent parallel lines that never intersect.

Front

What is the elimination method in solving systems of equations?

Back

A method where you eliminate one variable by adding or subtracting the equations.

Front

What is the first step in using the elimination method?

Back

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

Front

How do you determine if two equations are dependent?

Back

If one equation can be derived from the other by multiplying or dividing.