Cougar Competition #3

Front

What does the graph of a system of equations with no solution look like?

Back

Parallel lines.

Front

What does it mean if a system of linear equations has one solution?

Back

The two lines are intersecting.

Front

Solve the system of equations: y = 4x + 1 and 3x + 2y = 13.

Back

(1, 5)

Front

Find the solution for the system of equations: y = 2/3x - 2 and y = -x + 3.

Back

(3, 0)

Front

Is (4, 1) a solution for the system of equations: y = -x + 5 and y = 2x - 7?

Back

Yes.

Front

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

Back

They have exactly one solution.

Front

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

Back

They have no solutions.

Front

How can you determine if a point is a solution to a system of equations?

Back

Substitute the point into both equations and check if both are true.

Front

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

Back

(3, 7)

Front

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

Back

The same line represented by two equations.