Solving Systems of Two Linear Equations

Front

What does the graph of a system of equations with no solution look like?

Back

Parallel lines.

Front

What do intersecting lines in a system of linear equations represent?

Back

A unique solution.

Front

Which of the following systems of linear equations represent intersecting lines? y = x + 2 and y = 2x + 1

Back

These lines intersect at one point.

Front

What is the solution to the system of equations: 2x + 3y = 12 and x - y = 3?

Back

(3, 3).

Front

What do coincident lines in a system of linear equations represent?

Back

An infinite number of solutions.

Front

Which of the following systems of linear equations represent coincident lines? y = 2x + 4 and y = 2x + 4

Back

These lines are the same.

Front

What is a system of linear equations?

Back

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

Front

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

Back

They have no points in common, hence no solution.

Front

How can you determine if a system of equations has infinite solutions?

Back

If the equations represent the same line.

Front

What is the graphical representation of a unique solution in a system of equations?

Back

Two intersecting lines.