Systems of Equations Review

Front

What is a system of equations?

Back

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

Front

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

Back

The lines representing the equations are parallel and never intersect.

Front

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

Back

The equations represent the same line, meaning every point on the line is a solution.

Front

How can you determine the solution of a system of equations graphically?

Back

By finding the point where the lines intersect on a graph.

Front

What is the solution to the system: y = 2x + 1 and y = 2x + 5?

Back

No solution.

Front

What is the solution to the system: y = -4x + 5 and y = 3x - 16?

Back

(3, -7).

Front

What does the graph of intersecting lines indicate about a system of equations?

Back

It indicates that there is one unique solution.

Front

What is the graphical representation of parallel lines?

Back

Lines that never meet and have the same slope.

Front

What is the solution to the system: y = 2x + 3 and y = 2x - 1?

Back

No solution.

Front

What is the solution to the system: 2x + 3y = 6 and x - y = 1?

Back

(3, 0).