Steps to Solve Systems of Equations with Substitution

This video tutorial teaches how to solve a system of linear equations using substitution. It outlines five steps: identifying an equation in the form of x or y equals an expression, substituting this expression into the other equation, solving for one variable, substituting back to find the second variable, and checking the solution. The video includes three examples to illustrate these steps and emphasizes the importance of checking solutions. The tutorial is aimed at grade 8 students and encourages them to practice and verify their answers.

What is the main objective of today's lesson?

• To practice multiplication and division

• To memorize mathematical formulas

• To understand the concept of substitution in solving systems of equations

• To learn how to graph linear equations

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which step involves identifying an equation in the form x = expression or y = expression?

• Step 1

• Step 2

• Step 3

• Step 4

Tags

CCSS.6.EE.B.7

In which step do you substitute the expression from one equation into the other?

• Step 4

• Step 3

• Step 2

• Step 1

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the final step in solving a system of equations using substitution?

• Combining like terms

• Writing the solution as an ordered pair

• Distributing the values

• Checking the solution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

• 4

• 2

• 3

• 1

Tags

CCSS.7.EE.B.4A

What is the ordered pair solution for the first example?

• (2, 2)

• (1, 1)

• (1, 2)

• (2, 1)

In the second example, what is the value of x?

• 4.5

• 3.5

• 1.5

• 2.5

Tags

CCSS.8.EE.C.7B

What is the ordered pair solution for the second example?

• (2.5, 1.5)

• (1.5, 2.5)

• (2.5, 3.5)

• (3.5, 2.5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

In the third example, what is the value of y?

• 4

• 8

• 6

• 2

What is the ordered pair solution for the third example?

• (2, 6)

• (4, 6)

• (6, 4)

• (6, 2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6