Exploring Systems of Equations

What defines a system of equations?

• A quadratic equation

• Two or more linear equations

• A single linear equation

• A graphical representation

What does the solution of a system of equations represent?

• The difference between two equations

• An ordered pair that satisfies all equations

• A set of values that satisfy one equation

• The sum of all equations

Which method involves graphing lines to find where they intersect?

• Graphing

• Substitution

• Integration

• Elimination

What is the significance of the point of intersection in solving systems of equations?

• It is irrelevant to the solution

• It represents the maximum value

• It shows the point of divergence

• It indicates the solution to the system

What is the substitution method?

• Plugging a value for a variable into another equation

• Eliminating variables altogether

• Solving equations simultaneously

• Replacing one variable with another

How can you verify the solution to a system of equations?

• By graphing only

• By using substitution method only

• By consulting a textbook

• By checking if the solution satisfies both equations

Which method focuses on eliminating one variable to solve for the other?

• Graphing

• Division

• Substitution

• Elimination

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

• The system cannot be determined

• The system has one solution

• The system has no solution

• The system has infinitely many solutions

What happens if two lines intersect at one point on a graph?

• The system's solution cannot be graphed

• The system has infinitely many solutions

• The system has no solution

• The system has one solution

What is the result if two equations graph to the same line?

• Infinitely many solutions

• No solution

• One solution

• Undefined solution