Solving Systems of Equations with Substitution

This video tutorial covers solving systems of equations using the substitution method. It begins with an introduction to the concept, followed by three examples. The first example demonstrates solving for X and Y, the second shows a system with no solution, and the third solves for Y first. The tutorial emphasizes understanding the substitution process and recognizing cases with no solutions.

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

• Substitution

• Graphing

• Elimination

• Matrix Method

In the first example, what is the value of x after solving the equation?

• 0

• 2

• -1

• 1

In the first example, what is the final solution for the system of equations?

• (1, 1)

• (-1, -1)

• (2, 2)

• (0, 0)

In the second example, what does it mean when the system of equations has no solution?

• The lines are the same

• The lines are parallel and never intersect

• The lines intersect at multiple points

• The lines intersect at one point

What is the result of the equation 9x - 3y = -6 when y is substituted with 3x + 7 in the second example?

• 9x - 3(3x - 7) = -6

• 9x - 3(3x + 7) = -6

• 9x - 3(3x + 7) = 6

• 9x - 3(3x - 7) = 6

In the third example, what is the value of y after solving the equation?

• 2

• 3

• 1

• 0

In the third example, what is the final solution for the system of equations?

• (6, 1)

• (1, 6)

• (0, 1)

• (1, 0)

What is the first step in solving the system of equations in the third example?

• Add 4 to both sides

• Move x to the other side

• Subtract 4 from both sides

• Move 6y to the other side

In the third example, what is the value of x after solving the equation?

• 8

• 1

• 2

• 6

What is the final step in solving for x in the third example?

• Multiply by 2

• Divide by 2

• Subtract 4 from both sides

• Add 4 to both sides