Cougar Competition #3 pt2

Front

If a system of linear equations has one solution, what does this mean about the two lines?

Back

The two lines are intersecting lines.

Front

If a system of equations has no solution, what does the graph look like?

Back

The graph consists of parallel lines.

Front

Solve the system of equations: -x + y = -13 and -8x - 4y = -8.

Back

The solution is (5, -8).

Front

What is the solution to the system of equations: 2x + 3y = 3 and 4x - y = 5?

Back

The solution is (1, -1).

Front

How many solutions does this system of equations have? 2x + 4y = 8 and x + 2y = 4.

Back

The system has infinitely many solutions.

Front

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

Back

It means the system has no solution.

Front

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

Back

The lines overlap completely, representing the same line.

Front

How do you determine if a system of equations has one solution?

Back

If the lines intersect at a single point, the system has one solution.

Front

What is the solution to the system of equations: 3x + 2y = 6 and 6x + 4y = 12?

Back

The solution is infinitely many solutions.

Front

What is the definition of a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed.