Solving Systems of Equations by Graphing REVIEW (TTCM)

Front

What is the solution to a system of equations?

Back

The point or points where they intersect, what the lines have in common, either a single point, infinite number of points or no points. (ALL OF THE ABOVE)

Front

How many solutions can a system of equations have?

Back

One solution, no solution, or infinitely many solutions.

Front

What does it mean if a system of linear equations has no solution?

Back

The lines are parallel and will never intersect.

Front

What is the graphical representation of a system of equations?

Back

The lines representing the equations on a coordinate plane.

Front

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

Back

(2/3, 5/3)

Front

What does it mean if two lines intersect at a single point?

Back

The system of equations has one unique solution.

Front

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

Back

No solution (the lines are parallel).

Front

How can you determine the solution to a system of equations by graphing?

Back

By finding the point where the two lines intersect.

Front

What is the solution to the system of equations represented by the lines y = -2x + 4 and y = 2x - 2?

Back

(1, 2)

Front

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

Back

The lines are coincident (they lie on top of each other).