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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

• y = x + 7

• y = x - 7

• y = 2x - 4

• y = 3x + 5

Tags

CCSS.6.EE.C.9

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

• 4

• 5

• 6

• 7

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CCSS.7.EE.B.4A

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

• (5, 1)

• (5, -1)

• (6, 1)

• (6, -1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

Tags

CCSS.6.EE.C.9

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

• 3

• 5

• 2

• 4

Tags

CCSS.8.EE.C.7B

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

• (1, 5)

• (3, 2)

• (5, 1)

• (2, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

• y = -2x + 7

• y = 2x - 7

• y = -x + 7

• y = x - 7

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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

• 3

• 1

• 0

• 2

Tags

CCSS.8.EE.C.7B

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

• (1, 5)

• (5, 1)

• (3, 2)

• (2, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6