Solving Systems of Equations

The video tutorial explains how to solve a system of linear equations using graphical and tabular methods. It begins by introducing the equations and discussing different approaches to find their intersection. The tutorial then demonstrates creating a table of values to identify where the equations are equal, ultimately finding the solution at the point (1, 1). A quick sketch of the graph is also provided to visualize the intersection point.

What is the first equation in the system of equations discussed?

• -4x = 9 + 5y

• 11x = -20 + 9y

• -9 + 5y = -4x

• 5x + 9y = -4

Which method is NOT mentioned as a way to solve the system of equations?

• Checking for overlap in values

• Graphing the equations

• Creating a table of values

• Using a calculator

What values of x are chosen to create the table of values?

• -2, 0, 1, 2

• -2, 1, 0, 1, 2

• 0, 1, 2, 3

• -1, 0, 1, 2

At which point do the two equations in the system become equal?

• (0, 0)

• (1, 1)

• (3, 3)

• (2, 2)

What is the solution to the system of equations?

• (0, 0)

• (3, 3)

• (1, 1)

• (2, 2)

What does the graph of the first linear equation look like?

• A horizontal line

• A diagonal line

• A curved line

• A vertical line

Where do the graphs of the two equations intersect?

• At (2, 2)

• At (1, 1)

• At the origin

• At (3, 3)