Systems of Equations Concepts

Front

What is the solution to a systems 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

These two lines intersect at _____ (4, -2), (4, 2), (-2, 4), No solution.

Back

(4, -2)

Front

If the solution is infinitely many, the lines will ________?

Back

Overlap each other.

Front

When you graph the exact same equation twice, you will have _____ solutions.

Back

Infinite solutions.

Front

Which system of equations has one solution?

Back

A system where the lines intersect at exactly one point.

Front

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

Back

They have no solution because they never intersect.

Front

What is a system of equations?

Back

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

Front

How can you determine if a system of equations has no solution?

Back

If the lines are parallel.

Front

What is the graphical representation of a system of equations?

Back

The intersection points of the lines representing the equations.

Front

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

Back

The equations represent the same line.