Solving Systems of Linear Equations with Substitution

Mr. Allen introduces solving systems of linear equations using the substitution method. He explains the method through three examples, demonstrating how to solve for variables and find the intersection points of lines. The video concludes with a discussion on the importance of substitution in more advanced mathematics and a preview of future topics.

Which method does Mr. Allen prefer for solving systems of linear equations?

• Substitution method

• Graphing method

• Elimination method

• Matrix method

In the first example, what is the initial equation given for y?

• y = x + 7

• y = x - 7

• y = 2x - 4

• y = 3x + 5

What is the value of x after solving the first example?

• 4

• 5

• 6

• 7

What is the final solution (ordered pair) for the first example?

• (5, 1)

• (5, -1)

• (6, 1)

• (6, -1)

In the second example, what is the equation solved for x in terms of y?

• x = y + 4

• x = y - 4

• x = 2y - 4

• x = 2y + 4

What is the value of y after solving the second example?

• 3

• 5

• 2

• 4

What is the final solution (ordered pair) for the second example?

• (1, 5)

• (3, 2)

• (5, 1)

• (2, 3)

In the third example, what is the simplified equation for y?

• y = -2x + 7

• y = 2x - 7

• y = -x + 7

• y = x - 7

What is the value of x after solving the third example?

• 3

• 1

• 0

• 2

What is the final solution (ordered pair) for the third example?

• (1, 5)

• (5, 1)

• (3, 2)

• (2, 3)