Systems of Equations

Front

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

Back

Parallel lines.

Front

What is the solution to a system of equations with infinitely many solutions?

Back

Infinitely many solutions.

Front

Find the solution to the system: y = x - 6 and y = -3x + 2.

Back

(2, -4)

Front

Solve for x and y: y = 2x + 1 and y = 4x - 1.

Back

(1, 3)

Front

What kind of lines have no solution to a system of equations?

Back

Parallel lines.

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 two lines intersect on a graph?

Back

The system of equations has one unique solution.

Front

What is the graphical representation of a system with overlapping lines?

Back

The system has infinitely many solutions.

Front

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

Back

If the lines are parallel and never intersect.

Front

What is the substitution method in solving systems of equations?

Back

Solving one equation for one variable and substituting it into the other equation.