Steps for Solving Systems of Linear Equations with Substitution

The video tutorial introduces the concept of solving systems of linear equations using substitution, aimed at Algebra 1 students. It outlines the steps involved in the substitution method, including solving one equation for a variable, substituting into the second equation, solving for the remaining variable, and checking the solution. The tutorial provides four example problems, demonstrating the application of these steps, including a problem with a trick to watch out for. The video concludes with a summary and encouragement for students to practice the method.

What is the primary focus of this video tutorial?

• Solving systems of linear equations using substitution

• Solving quadratic equations

• Factoring polynomials

• Graphing linear equations

Tags

CCSS.HSA-REI.B.4B

What is the first step in solving a system using substitution?

• Combine like terms

• Solve one of the equations for one of the variables

• Substitute the expression into the second equation

• Check the solution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What should you do after solving one of the equations for a variable?

• Graph the equations

• Combine like terms

• Substitute the expression into the second equation

• Check 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?

• 0

• 1

• 2

• -1

Tags

CCSS.7.EE.B.4A

What is the ordered pair solution for the first example?

• (2, -10)

• (-1, -12)

• (1, -12)

• (-1, 12)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

• 3

• 0

• -3

• -1

Tags

CCSS.7.EE.B.4A

What is the ordered pair solution for the second example?

• (-3, 0)

• (3, 0)

• (0, -3)

• (-3, 3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

• 2

• -1

• 0

• 1

Tags

CCSS.7.EE.B.4A

What is the ordered pair solution for the third example?

• (1, -7)

• (0, 7)

• (1, 7)

• (1, 6)

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

• Combine like terms

• Substitute the expression into the second equation

• Solve one of the equations for one of the variables

• Check that the solution is true for both equations

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6