Systems of Equations

Front

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

Back

The graph consists of parallel lines.

Front

What is the solution to the system of equations: 2x + 3y = 12 and x - y = 1?

Back

(3, 2)

Front

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

Back

It means the equations represent the same line.

Front

What is the ordered pair that is a solution to the system: 5x + 7 = 4y and 2x - 1 = y + 1?

Back

(5, 8)

Front

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

Back

If the lines are parallel, they will never intersect.

Front

What is the solution to the system of equations: y = 4x + 1 and 3x + 2y = 13?

Back

(1, 5)

Front

What does it mean if two lines in a system of equations intersect at one point?

Back

It means the system has exactly one solution.

Front

What is the graphical representation of a system of equations with one solution?

Back

The graph shows two intersecting lines.

Front

What is the definition of a system of equations?

Back

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

Front

What is the solution to the system of equations: 8x + 4y = 12 and y = -2x + 3?

Back

Infinitely many solutions.