Solving Systems of Equations

The video tutorial explains how to solve a system of equations using the elimination method. It begins with an introduction to solving systems algebraically, followed by a detailed explanation of the elimination method. The tutorial then demonstrates the step-by-step process of solving the equations and finding the solution as an ordered pair. Finally, it verifies the solution both algebraically and graphically, ensuring the ordered pair satisfies both equations.

What is the first step in solving a system of equations using the elimination method?

• Solve for one variable directly

• Substitute one equation into the other

• Make the coefficients of one variable opposites

• Graph the equations

Why do we multiply the second equation by 3 in the elimination method?

• To find the least common multiple

• To simplify the equation

• To eliminate the Y terms

• To make the X terms equal

After eliminating the Y terms, what is the next step?

• Check the solution

• Solve for X

• Graph the equations

• Solve for Y

What value of X is found after solving the equations?

• 8

• 7

• 6

• 5

How do you find the value of Y once X is known?

• Substitute X into the first equation

• Use the elimination method again

• Graph the solution

• Substitute X into the second equation

What is the ordered pair solution to the system of equations?

• (7, 4)

• (5, 6)

• (6, 5)

• (8, 3)

How can you verify the solution algebraically?

• By using a calculator

• By solving the equations again

• By graphing the equations

• By checking if the ordered pair satisfies both equations

What does it mean if the ordered pair satisfies both equations?

• The solution is incorrect

• The solution is correct

• The equations are inconsistent

• The equations are dependent

What is the graphical representation of the solution?

• The lines intersect at the ordered pair

• The lines are the same

• The lines are parallel

• The lines do not intersect

What is the significance of the point of intersection in the graph?

• It shows the equations are inconsistent

• It represents the solution to the system

• It indicates the equations are dependent

• It means the solution is incorrect