A1-U4.3b Lesson Check: Solving Systems w/ Elimination SC

Front

What does it mean if a system of linear equations has infinitely many solutions?

Back

The two lines are the same line.

Front

How many solutions does the system have? 2x + 5y = 10, 4x + 10y = 20

Back

Infinitely Many Solutions

Front

How many solutions does the system have? -3x - 8y = 5, 3x - 8y = 15

Back

One Solution

Front

How many solutions does the system have? x - 5y = 12, x - 5y = 21

Back

No Solution

Front

How many solutions does the system have? 3x + y = -7, 6x - 3y = -21

Back

One Solution

Front

What are the characteristics of parallel lines in a system of equations?

Back

They have no solutions because they never intersect.

Front

What is the graphical representation of a system with one solution?

Back

Two intersecting lines.

Front

What is the graphical representation of a system with no solution?

Back

Two parallel lines.

Front

What is the graphical representation of a system with infinitely many solutions?

Back

Two overlapping lines.

Front

What is the elimination method in solving systems of equations?

Back

A method that involves adding or subtracting equations to eliminate one variable.