Graphing Systems of Equations HW

Front

What happens when you graph the same equation twice?

Back

You will have infinite solutions.

Front

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

Back

They are the same line.

Front

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

Back

They are intersecting lines.

Front

What is the solution to the system: 2x + 3y = 0 and 4x + 6y = 0?

Back

(0, 0) - Infinite solutions.

Front

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

Back

(2, -1).

Front

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

Back

There is no solution.

Front

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

Back

Two parallel lines.

Front

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

Back

Two intersecting lines.

Front

What is the solution to the system: 3x + 2y = 6 and 3x - 2y = 0?

Back

(2, 0).

Front

What is the solution to the system: y = 2x + 1 and y = -x + 4?

Back

(1, 3).