This video tutorial teaches how to find exact solutions to systems of equations using the substitution method. It begins with an introduction to the concept, followed by a review of checking solutions and solving single equations. The tutorial then demonstrates solving a system of equations using substitution with examples, emphasizing the importance of verifying solutions.

What is the main method discussed in this lesson for solving systems of equations?

• Elimination method

• Matrix method

• Substitution method

• Graphical method

Which point is checked to see if it satisfies the system x + y = 8 and x - y = -2?

• (5, 3)

• (4, 4)

• (3, 5)

• (2, 6)

What is the solution to the equation 3 - 5x = 18?

• x = 3

• x = -3

• x = -5

• x = 5

In the system y = 2 and x + 3y = 10, what is the value of x?

• x = 8

• x = 6

• x = 4

• x = 2

What is the solution to the system y = 2 and x + 3y = 10?

• (2, 2)

• (8, 2)

• (4, 2)

• (6, 2)

In the system x + 3y = 1 and -3x + 3y = -15, what is the value of y?

• y = -1

• y = -3

• y = -2

• y = -4

What is the value of x in the system x + 3y = 1 and -3x + 3y = -15 after finding y = -2?

• x = 8

• x = 7

• x = 6

• x = 5

What is the solution to the system x + 3y = 1 and -3x + 3y = -15?

• (8, -2)

• (7, -2)

• (6, -2)

• (5, -2)

What is the first step in solving the system x + 3y = 1 and -3x + 3y = -15 using substitution?

• Solve one equation for x or y

• Subtract the equations

• Multiply the equations

• Add the equations

Why is it important to check the solution in the original system of equations?

• To find a new solution

• To verify the solution satisfies both equations

• To simplify the equations

• To eliminate variables