Systems of Equations solutions and vocab

Front

What is the solution of the system of equations?

Back

The solution is the point where the equations intersect, represented as (x, y).

Front

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

Back

The graph consists of parallel lines that never intersect.

Front

What type of solution do you have if you end up with -6 = 7?

Back

No solution.

Front

What is the definition of a solution in the context of systems of equations?

Back

A value that makes the equations equal.

Front

What type of solution does a system of equations have if the lines intersect at one point?

Back

One Solution.

Front

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

Back

They do not intersect and are not parallel.

Front

What is an infinite solution in a system of equations?

Back

When the equations represent the same line, resulting in countless intersection points.

Front

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

Back

If the lines intersect at a single point.

Front

What is the graphical representation of a system with infinite solutions?

Back

The same line drawn multiple times.

Front

What is the significance of the point of intersection in a system of equations?

Back

It represents the solution to the system.