5.1 and 5.4 checkpoint

Front

What happens when you graph the exact same equation twice?

Back

You will have infinite solutions.

Front

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

Back

Yes

Front

Which of the following is a solution to the equations y = -4x + 4 and y = 4x + 20? (4, -12), (-2, 12), (4, 36), (2, -4)

Back

(-2, 12)

Front

Does the system of equations 2x - 3y = 10 and -4x = -6y - 20 have one solution, no solution, or infinitely many solutions?

Back

Infinitely many solutions.

Front

How many solutions does the system of equations have if it is consistent and independent?

Back

One Solution.

Front

What is a system of equations?

Back

A set of two or more equations with the same variables.

Front

What does it mean for a system of equations to have no solution?

Back

The lines representing the equations are parallel and never intersect.

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

The lines representing the equations are the same line.

Front

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

Back

Two lines that intersect at a single point.

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.