Solving Systems of Equations Graphically

The video tutorial explains how to solve systems of equations by graphing. It introduces the concept of systems of equations and solutions, demonstrates how to verify solutions, and provides an overview of the graphing method. The tutorial includes examples of graphing systems to find solutions, highlighting different outcomes such as one solution, no solution, and infinite solutions. The video also briefly mentions other methods like substitution and elimination for future learning.

What is a system of equations?

• A single equation with multiple variables.

• A set of equations that cannot be solved.

• A single equation with one variable.

• A set of equations with the same variables.

What does it mean for an ordered pair to be a solution to a system of equations?

• It makes both equations true.

• It makes both equations false.

• It makes neither equation true.

• It makes only one of the equations true.

What is the first step in solving a system of equations by graphing?

• Find the intercepts of the equations.

• Graph each equation on the same coordinate plane.

• Check if the equations are consistent.

• Substitute values into the equations.

What is the solution to a system of equations if the graphs intersect at one point?

• The coordinates of the intersection point.

• The system is inconsistent.

• There are infinite solutions.

• There is no solution.

What does it mean if two lines are parallel when graphed?

• The system has one solution.

• The system has no solution.

• The system has infinite solutions.

• The system is dependent.

What is the slope-intercept form of a linear equation?

• x = my + b

• y = ax^2 + bx + c

• y = mx + b

• ax + by = c

What is a disadvantage of solving systems by graphing?

• It requires solving for y.

• It requires high accuracy, especially for non-integer solutions.

• It is difficult to graph non-linear equations.

• It is always accurate.

How can you verify the solution of a system using a graphing calculator?

• By checking the table of values.

• By using the zoom function.

• By finding the point of intersection.

• By solving the equations manually.

What classification is given to a system with no solutions?

• Consistent and independent

• Inconsistent and dependent

• Consistent and dependent

• Inconsistent and independent

What will be covered in future videos?

• Graphing method only

• Only elimination method

• Substitution and elimination methods

• Only substitution method